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Finding the Fourth Proportional to 3,902.19, 5,854.16 and 2,054.17

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Solution

The fourth proportional to 3,902.19, 5,854.16 and 2,054.17 is: 3,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.19 : 5,854.16 = 2,054.17 : x
  2. Step 2: Convert to fraction form
    3,902.19/5,854.16 = 2,054.17/x
  3. Step 3: Cross multiply
    3,902.19x = 5,854.16 × 2,054.17
  4. Step 4: Simplify right side
    3,902.19x = 12,025,429.58
  5. Step 5: Solve for x
    x = 12,025,429.58/3,902.19
  6. Step 6: Final answer
    x = 3,081.72

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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.