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Finding the Fourth Proportional to 5,905.65, 8,149.50 and 3,252.55

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Solution

The fourth proportional to 5,905.65, 8,149.50 and 3,252.55 is: 4,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.65 : 8,149.50 = 3,252.55 : x
  2. Step 2: Convert to fraction form
    5,905.65/8,149.50 = 3,252.55/x
  3. Step 3: Cross multiply
    5,905.65x = 8,149.50 × 3,252.55
  4. Step 4: Simplify right side
    5,905.65x = 26,506,651.13
  5. Step 5: Solve for x
    x = 26,506,651.13/5,905.65
  6. Step 6: Final answer
    x = 4,488.35

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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.