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Finding the Fourth Proportional to 3,507.24, 5,232.11 and 3,411.90

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Solution

The fourth proportional to 3,507.24, 5,232.11 and 3,411.90 is: 5,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.24 : 5,232.11 = 3,411.90 : x
  2. Step 2: Convert to fraction form
    3,507.24/5,232.11 = 3,411.90/x
  3. Step 3: Cross multiply
    3,507.24x = 5,232.11 × 3,411.90
  4. Step 4: Simplify right side
    3,507.24x = 17,851,436.11
  5. Step 5: Solve for x
    x = 17,851,436.11/3,507.24
  6. Step 6: Final answer
    x = 5,089.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.