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Finding the Fourth Proportional to 5,159.84, 7,746.84 and 2,663.11

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Solution

The fourth proportional to 5,159.84, 7,746.84 and 2,663.11 is: 3,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.84 : 7,746.84 = 2,663.11 : x
  2. Step 2: Convert to fraction form
    5,159.84/7,746.84 = 2,663.11/x
  3. Step 3: Cross multiply
    5,159.84x = 7,746.84 × 2,663.11
  4. Step 4: Simplify right side
    5,159.84x = 20,630,696.76
  5. Step 5: Solve for x
    x = 20,630,696.76/5,159.84
  6. Step 6: Final answer
    x = 3,998.32

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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.