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Finding the Fourth Proportional to 3,756.62, 5,631.90 and 1,566.98

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Solution

The fourth proportional to 3,756.62, 5,631.90 and 1,566.98 is: 2,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.62 : 5,631.90 = 1,566.98 : x
  2. Step 2: Convert to fraction form
    3,756.62/5,631.90 = 1,566.98/x
  3. Step 3: Cross multiply
    3,756.62x = 5,631.90 × 1,566.98
  4. Step 4: Simplify right side
    3,756.62x = 8,825,074.66
  5. Step 5: Solve for x
    x = 8,825,074.66/3,756.62
  6. Step 6: Final answer
    x = 2,349.21

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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.