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Finding the Fourth Proportional to 4,229.47, 6,332.05 and 3,184.57

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Solution

The fourth proportional to 4,229.47, 6,332.05 and 3,184.57 is: 4,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.47 : 6,332.05 = 3,184.57 : x
  2. Step 2: Convert to fraction form
    4,229.47/6,332.05 = 3,184.57/x
  3. Step 3: Cross multiply
    4,229.47x = 6,332.05 × 3,184.57
  4. Step 4: Simplify right side
    4,229.47x = 20,164,808.89
  5. Step 5: Solve for x
    x = 20,164,808.89/4,229.47
  6. Step 6: Final answer
    x = 4,767.70

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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.