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Finding the Fourth Proportional to 3,758.15, 5,636.13 and 1,125.55

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Solution

The fourth proportional to 3,758.15, 5,636.13 and 1,125.55 is: 1,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.15 : 5,636.13 = 1,125.55 : x
  2. Step 2: Convert to fraction form
    3,758.15/5,636.13 = 1,125.55/x
  3. Step 3: Cross multiply
    3,758.15x = 5,636.13 × 1,125.55
  4. Step 4: Simplify right side
    3,758.15x = 6,343,723.57
  5. Step 5: Solve for x
    x = 6,343,723.57/3,758.15
  6. Step 6: Final answer
    x = 1,687.99

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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.