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Finding the Fourth Proportional to 5,389.92, 7,437.84 and 3,294.24

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Solution

The fourth proportional to 5,389.92, 7,437.84 and 3,294.24 is: 4,545.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.92 : 7,437.84 = 3,294.24 : x
  2. Step 2: Convert to fraction form
    5,389.92/7,437.84 = 3,294.24/x
  3. Step 3: Cross multiply
    5,389.92x = 7,437.84 × 3,294.24
  4. Step 4: Simplify right side
    5,389.92x = 24,502,030.04
  5. Step 5: Solve for x
    x = 24,502,030.04/5,389.92
  6. Step 6: Final answer
    x = 4,545.90

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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.