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Finding the Fourth Proportional to 5,704.88, 7,870.02 and 3,714.70

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Solution

The fourth proportional to 5,704.88, 7,870.02 and 3,714.70 is: 5,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.88 : 7,870.02 = 3,714.70 : x
  2. Step 2: Convert to fraction form
    5,704.88/7,870.02 = 3,714.70/x
  3. Step 3: Cross multiply
    5,704.88x = 7,870.02 × 3,714.70
  4. Step 4: Simplify right side
    5,704.88x = 29,234,763.29
  5. Step 5: Solve for x
    x = 29,234,763.29/5,704.88
  6. Step 6: Final answer
    x = 5,124.52

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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.