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Finding the Fourth Proportional to 3,762.12, 5,643.22 and 2,471.78

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Solution

The fourth proportional to 3,762.12, 5,643.22 and 2,471.78 is: 3,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.12 : 5,643.22 = 2,471.78 : x
  2. Step 2: Convert to fraction form
    3,762.12/5,643.22 = 2,471.78/x
  3. Step 3: Cross multiply
    3,762.12x = 5,643.22 × 2,471.78
  4. Step 4: Simplify right side
    3,762.12x = 13,948,798.33
  5. Step 5: Solve for x
    x = 13,948,798.33/3,762.12
  6. Step 6: Final answer
    x = 3,707.70

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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.