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Finding the Fourth Proportional to 3,678.46, 5,521.62 and 1,488.62

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Solution

The fourth proportional to 3,678.46, 5,521.62 and 1,488.62 is: 2,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.46 : 5,521.62 = 1,488.62 : x
  2. Step 2: Convert to fraction form
    3,678.46/5,521.62 = 1,488.62/x
  3. Step 3: Cross multiply
    3,678.46x = 5,521.62 × 1,488.62
  4. Step 4: Simplify right side
    3,678.46x = 8,219,593.96
  5. Step 5: Solve for x
    x = 8,219,593.96/3,678.46
  6. Step 6: Final answer
    x = 2,234.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.