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Finding the Fourth Proportional to 3,641.61, 5,458.77 and 1,562.97

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Solution

The fourth proportional to 3,641.61, 5,458.77 and 1,562.97 is: 2,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.61 : 5,458.77 = 1,562.97 : x
  2. Step 2: Convert to fraction form
    3,641.61/5,458.77 = 1,562.97/x
  3. Step 3: Cross multiply
    3,641.61x = 5,458.77 × 1,562.97
  4. Step 4: Simplify right side
    3,641.61x = 8,531,893.75
  5. Step 5: Solve for x
    x = 8,531,893.75/3,641.61
  6. Step 6: Final answer
    x = 2,342.89

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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.