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Finding the Fourth Proportional to 3,497.90, 5,239.92 and 2,107.13

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Solution

The fourth proportional to 3,497.90, 5,239.92 and 2,107.13 is: 3,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.90 : 5,239.92 = 2,107.13 : x
  2. Step 2: Convert to fraction form
    3,497.90/5,239.92 = 2,107.13/x
  3. Step 3: Cross multiply
    3,497.90x = 5,239.92 × 2,107.13
  4. Step 4: Simplify right side
    3,497.90x = 11,041,192.63
  5. Step 5: Solve for x
    x = 11,041,192.63/3,497.90
  6. Step 6: Final answer
    x = 3,156.52

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