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Finding the Fourth Proportional to 4,464.79, 6,697.47 and 1,542.71

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Solution

The fourth proportional to 4,464.79, 6,697.47 and 1,542.71 is: 2,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.79 : 6,697.47 = 1,542.71 : x
  2. Step 2: Convert to fraction form
    4,464.79/6,697.47 = 1,542.71/x
  3. Step 3: Cross multiply
    4,464.79x = 6,697.47 × 1,542.71
  4. Step 4: Simplify right side
    4,464.79x = 10,332,253.94
  5. Step 5: Solve for x
    x = 10,332,253.94/4,464.79
  6. Step 6: Final answer
    x = 2,314.16

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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.