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Finding the Fourth Proportional to 5,909.28, 8,153.68 and 3,700

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Solution

The fourth proportional to 5,909.28, 8,153.68 and 3,700 is: 5,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.28 : 8,153.68 = 3,700 : x
  2. Step 2: Convert to fraction form
    5,909.28/8,153.68 = 3,700/x
  3. Step 3: Cross multiply
    5,909.28x = 8,153.68 × 3,700
  4. Step 4: Simplify right side
    5,909.28x = 30,168,616
  5. Step 5: Solve for x
    x = 30,168,616/5,909.28
  6. Step 6: Final answer
    x = 5,105.29

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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.