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Finding the Fourth Proportional to 3,681.52, 5,519.60 and 1,732.64

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Solution

The fourth proportional to 3,681.52, 5,519.60 and 1,732.64 is: 2,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.52 : 5,519.60 = 1,732.64 : x
  2. Step 2: Convert to fraction form
    3,681.52/5,519.60 = 1,732.64/x
  3. Step 3: Cross multiply
    3,681.52x = 5,519.60 × 1,732.64
  4. Step 4: Simplify right side
    3,681.52x = 9,563,479.74
  5. Step 5: Solve for x
    x = 9,563,479.74/3,681.52
  6. Step 6: Final answer
    x = 2,597.70

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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.