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Finding the Fourth Proportional to 3,685.76, 5,087.68 and 2,444.16

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Solution

The fourth proportional to 3,685.76, 5,087.68 and 2,444.16 is: 3,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.76 : 5,087.68 = 2,444.16 : x
  2. Step 2: Convert to fraction form
    3,685.76/5,087.68 = 2,444.16/x
  3. Step 3: Cross multiply
    3,685.76x = 5,087.68 × 2,444.16
  4. Step 4: Simplify right side
    3,685.76x = 12,435,103.95
  5. Step 5: Solve for x
    x = 12,435,103.95/3,685.76
  6. Step 6: Final answer
    x = 3,373.82

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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.