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Finding the Fourth Proportional to 3,758.62, 5,637.39 and 1,566.94

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Solution

The fourth proportional to 3,758.62, 5,637.39 and 1,566.94 is: 2,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.62 : 5,637.39 = 1,566.94 : x
  2. Step 2: Convert to fraction form
    3,758.62/5,637.39 = 1,566.94/x
  3. Step 3: Cross multiply
    3,758.62x = 5,637.39 × 1,566.94
  4. Step 4: Simplify right side
    3,758.62x = 8,833,451.89
  5. Step 5: Solve for x
    x = 8,833,451.89/3,758.62
  6. Step 6: Final answer
    x = 2,350.18

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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.