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Finding the Fourth Proportional to 3,902.88, 5,854.16 and 2,151.35

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Solution

The fourth proportional to 3,902.88, 5,854.16 and 2,151.35 is: 3,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.88 : 5,854.16 = 2,151.35 : x
  2. Step 2: Convert to fraction form
    3,902.88/5,854.16 = 2,151.35/x
  3. Step 3: Cross multiply
    3,902.88x = 5,854.16 × 2,151.35
  4. Step 4: Simplify right side
    3,902.88x = 12,594,347.12
  5. Step 5: Solve for x
    x = 12,594,347.12/3,902.88
  6. Step 6: Final answer
    x = 3,226.94

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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.