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Finding the Fourth Proportional to 6,367.70, 8,787.42 and 3,534.96

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Solution

The fourth proportional to 6,367.70, 8,787.42 and 3,534.96 is: 4,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.70 : 8,787.42 = 3,534.96 : x
  2. Step 2: Convert to fraction form
    6,367.70/8,787.42 = 3,534.96/x
  3. Step 3: Cross multiply
    6,367.70x = 8,787.42 × 3,534.96
  4. Step 4: Simplify right side
    6,367.70x = 31,063,178.20
  5. Step 5: Solve for x
    x = 31,063,178.20/6,367.70
  6. Step 6: Final answer
    x = 4,878.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.