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Finding the Fourth Proportional to 5,848.25, 8,772.35 and 1,902.78

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Solution

The fourth proportional to 5,848.25, 8,772.35 and 1,902.78 is: 2,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.25 : 8,772.35 = 1,902.78 : x
  2. Step 2: Convert to fraction form
    5,848.25/8,772.35 = 1,902.78/x
  3. Step 3: Cross multiply
    5,848.25x = 8,772.35 × 1,902.78
  4. Step 4: Simplify right side
    5,848.25x = 16,691,842.62
  5. Step 5: Solve for x
    x = 16,691,842.62/5,848.25
  6. Step 6: Final answer
    x = 2,854.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.