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Finding the Fourth Proportional to 5,909.49, 8,151.80 and 3,752.06

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Solution

The fourth proportional to 5,909.49, 8,151.80 and 3,752.06 is: 5,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.49 : 8,151.80 = 3,752.06 : x
  2. Step 2: Convert to fraction form
    5,909.49/8,151.80 = 3,752.06/x
  3. Step 3: Cross multiply
    5,909.49x = 8,151.80 × 3,752.06
  4. Step 4: Simplify right side
    5,909.49x = 30,585,983.19
  5. Step 5: Solve for x
    x = 30,585,983.19/5,909.49
  6. Step 6: Final answer
    x = 5,175.74

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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.