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Finding the Fourth Proportional to 3,854.63, 5,314.10 and 2,437.61

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Solution

The fourth proportional to 3,854.63, 5,314.10 and 2,437.61 is: 3,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.63 : 5,314.10 = 2,437.61 : x
  2. Step 2: Convert to fraction form
    3,854.63/5,314.10 = 2,437.61/x
  3. Step 3: Cross multiply
    3,854.63x = 5,314.10 × 2,437.61
  4. Step 4: Simplify right side
    3,854.63x = 12,953,722.68
  5. Step 5: Solve for x
    x = 12,953,722.68/3,854.63
  6. Step 6: Final answer
    x = 3,360.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.