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Finding the Fourth Proportional to 5,909.89, 8,155.64 and 3,257.47

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Solution

The fourth proportional to 5,909.89, 8,155.64 and 3,257.47 is: 4,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.89 : 8,155.64 = 3,257.47 : x
  2. Step 2: Convert to fraction form
    5,909.89/8,155.64 = 3,257.47/x
  3. Step 3: Cross multiply
    5,909.89x = 8,155.64 × 3,257.47
  4. Step 4: Simplify right side
    5,909.89x = 26,566,752.63
  5. Step 5: Solve for x
    x = 26,566,752.63/5,909.89
  6. Step 6: Final answer
    x = 4,495.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.