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Finding the Fourth Proportional to 3,714.20, 5,528.86 and 3,658.84

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Solution

The fourth proportional to 3,714.20, 5,528.86 and 3,658.84 is: 5,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.20 : 5,528.86 = 3,658.84 : x
  2. Step 2: Convert to fraction form
    3,714.20/5,528.86 = 3,658.84/x
  3. Step 3: Cross multiply
    3,714.20x = 5,528.86 × 3,658.84
  4. Step 4: Simplify right side
    3,714.20x = 20,229,214.12
  5. Step 5: Solve for x
    x = 20,229,214.12/3,714.20
  6. Step 6: Final answer
    x = 5,446.45

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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.