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Finding the Fourth Proportional to 4,332.54, 6,507.60 and 3,824.04

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Solution

The fourth proportional to 4,332.54, 6,507.60 and 3,824.04 is: 5,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.54 : 6,507.60 = 3,824.04 : x
  2. Step 2: Convert to fraction form
    4,332.54/6,507.60 = 3,824.04/x
  3. Step 3: Cross multiply
    4,332.54x = 6,507.60 × 3,824.04
  4. Step 4: Simplify right side
    4,332.54x = 24,885,322.70
  5. Step 5: Solve for x
    x = 24,885,322.70/4,332.54
  6. Step 6: Final answer
    x = 5,743.82

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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.