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Finding the Fourth Proportional to 5,696,493.85, 7,860,965.75 and 3,249,896.89

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Solution

The fourth proportional to 5,696,493.85, 7,860,965.75 and 3,249,896.89 is: 4,484,746.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696,493.85 : 7,860,965.75 = 3,249,896.89 : x
  2. Step 2: Convert to fraction form
    5,696,493.85/7,860,965.75 = 3,249,896.89/x
  3. Step 3: Cross multiply
    5,696,493.85x = 7,860,965.75 × 3,249,896.89
  4. Step 4: Simplify right side
    5,696,493.85x = 25,547,328,127,072.04
  5. Step 5: Solve for x
    x = 25,547,328,127,072.04/5,696,493.85
  6. Step 6: Final answer
    x = 4,484,746.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.