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Finding the Fourth Proportional to 5,432.69, 8,149.77 and 1,684.77

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Solution

The fourth proportional to 5,432.69, 8,149.77 and 1,684.77 is: 2,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.69 : 8,149.77 = 1,684.77 : x
  2. Step 2: Convert to fraction form
    5,432.69/8,149.77 = 1,684.77/x
  3. Step 3: Cross multiply
    5,432.69x = 8,149.77 × 1,684.77
  4. Step 4: Simplify right side
    5,432.69x = 13,730,488.00
  5. Step 5: Solve for x
    x = 13,730,488.00/5,432.69
  6. Step 6: Final answer
    x = 2,527.39

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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.