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Finding the Fourth Proportional to 5,787.40, 7,990.02 and 3,801.42

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Solution

The fourth proportional to 5,787.40, 7,990.02 and 3,801.42 is: 5,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.40 : 7,990.02 = 3,801.42 : x
  2. Step 2: Convert to fraction form
    5,787.40/7,990.02 = 3,801.42/x
  3. Step 3: Cross multiply
    5,787.40x = 7,990.02 × 3,801.42
  4. Step 4: Simplify right side
    5,787.40x = 30,373,421.83
  5. Step 5: Solve for x
    x = 30,373,421.83/5,787.40
  6. Step 6: Final answer
    x = 5,248.20

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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.