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Finding the Fourth Proportional to 3,714.17, 5,130.54 and 2,973.29

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Solution

The fourth proportional to 3,714.17, 5,130.54 and 2,973.29 is: 4,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.17 : 5,130.54 = 2,973.29 : x
  2. Step 2: Convert to fraction form
    3,714.17/5,130.54 = 2,973.29/x
  3. Step 3: Cross multiply
    3,714.17x = 5,130.54 × 2,973.29
  4. Step 4: Simplify right side
    3,714.17x = 15,254,557.62
  5. Step 5: Solve for x
    x = 15,254,557.62/3,714.17
  6. Step 6: Final answer
    x = 4,107.13

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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.