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Finding the Fourth Proportional to 3,641.71, 5,463.48 and 1,044.64

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Solution

The fourth proportional to 3,641.71, 5,463.48 and 1,044.64 is: 1,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.71 : 5,463.48 = 1,044.64 : x
  2. Step 2: Convert to fraction form
    3,641.71/5,463.48 = 1,044.64/x
  3. Step 3: Cross multiply
    3,641.71x = 5,463.48 × 1,044.64
  4. Step 4: Simplify right side
    3,641.71x = 5,707,369.75
  5. Step 5: Solve for x
    x = 5,707,369.75/3,641.71
  6. Step 6: Final answer
    x = 1,567.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.