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Finding the Fourth Proportional to 3,677.06, 5,078.52 and 2,496.08

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Solution

The fourth proportional to 3,677.06, 5,078.52 and 2,496.08 is: 3,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.06 : 5,078.52 = 2,496.08 : x
  2. Step 2: Convert to fraction form
    3,677.06/5,078.52 = 2,496.08/x
  3. Step 3: Cross multiply
    3,677.06x = 5,078.52 × 2,496.08
  4. Step 4: Simplify right side
    3,677.06x = 12,676,411.92
  5. Step 5: Solve for x
    x = 12,676,411.92/3,677.06
  6. Step 6: Final answer
    x = 3,447.43

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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.