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Finding the Fourth Proportional to 3,713.70, 5,528.10 and 3,658.35

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Solution

The fourth proportional to 3,713.70, 5,528.10 and 3,658.35 is: 5,445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.70 : 5,528.10 = 3,658.35 : x
  2. Step 2: Convert to fraction form
    3,713.70/5,528.10 = 3,658.35/x
  3. Step 3: Cross multiply
    3,713.70x = 5,528.10 × 3,658.35
  4. Step 4: Simplify right side
    3,713.70x = 20,223,724.64
  5. Step 5: Solve for x
    x = 20,223,724.64/3,713.70
  6. Step 6: Final answer
    x = 5,445.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.