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Finding the Fourth Proportional to 4,332.64, 6,502.68 and 1,737.36

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Solution

The fourth proportional to 4,332.64, 6,502.68 and 1,737.36 is: 2,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.64 : 6,502.68 = 1,737.36 : x
  2. Step 2: Convert to fraction form
    4,332.64/6,502.68 = 1,737.36/x
  3. Step 3: Cross multiply
    4,332.64x = 6,502.68 × 1,737.36
  4. Step 4: Simplify right side
    4,332.64x = 11,297,496.12
  5. Step 5: Solve for x
    x = 11,297,496.12/4,332.64
  6. Step 6: Final answer
    x = 2,607.53

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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.