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Finding the Fourth Proportional to 5,929.90, 8,894.08 and 1,547.70

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Solution

The fourth proportional to 5,929.90, 8,894.08 and 1,547.70 is: 2,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.90 : 8,894.08 = 1,547.70 : x
  2. Step 2: Convert to fraction form
    5,929.90/8,894.08 = 1,547.70/x
  3. Step 3: Cross multiply
    5,929.90x = 8,894.08 × 1,547.70
  4. Step 4: Simplify right side
    5,929.90x = 13,765,367.62
  5. Step 5: Solve for x
    x = 13,765,367.62/5,929.90
  6. Step 6: Final answer
    x = 2,321.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.