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Finding the Fourth Proportional to 5,681.52, 8,522.40 and 1,785.92

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Solution

The fourth proportional to 5,681.52, 8,522.40 and 1,785.92 is: 2,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.52 : 8,522.40 = 1,785.92 : x
  2. Step 2: Convert to fraction form
    5,681.52/8,522.40 = 1,785.92/x
  3. Step 3: Cross multiply
    5,681.52x = 8,522.40 × 1,785.92
  4. Step 4: Simplify right side
    5,681.52x = 15,220,324.61
  5. Step 5: Solve for x
    x = 15,220,324.61/5,681.52
  6. Step 6: Final answer
    x = 2,678.92

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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.