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Finding the Fourth Proportional to 5,209.57, 7,178.56 and 3,714.31

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Solution

The fourth proportional to 5,209.57, 7,178.56 and 3,714.31 is: 5,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.57 : 7,178.56 = 3,714.31 : x
  2. Step 2: Convert to fraction form
    5,209.57/7,178.56 = 3,714.31/x
  3. Step 3: Cross multiply
    5,209.57x = 7,178.56 × 3,714.31
  4. Step 4: Simplify right side
    5,209.57x = 26,663,397.19
  5. Step 5: Solve for x
    x = 26,663,397.19/5,209.57
  6. Step 6: Final answer
    x = 5,118.16

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