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Finding the Fourth Proportional to 3,658.56, 5,490.24 and 2,681.68

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Solution

The fourth proportional to 3,658.56, 5,490.24 and 2,681.68 is: 4,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.56 : 5,490.24 = 2,681.68 : x
  2. Step 2: Convert to fraction form
    3,658.56/5,490.24 = 2,681.68/x
  3. Step 3: Cross multiply
    3,658.56x = 5,490.24 × 2,681.68
  4. Step 4: Simplify right side
    3,658.56x = 14,723,066.80
  5. Step 5: Solve for x
    x = 14,723,066.80/3,658.56
  6. Step 6: Final answer
    x = 4,024.28

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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.