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Finding the Fourth Proportional to 8,701.30, 13,057.30 and 3,770.98

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Solution

The fourth proportional to 8,701.30, 13,057.30 and 3,770.98 is: 5,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,701.30 : 13,057.30 = 3,770.98 : x
  2. Step 2: Convert to fraction form
    8,701.30/13,057.30 = 3,770.98/x
  3. Step 3: Cross multiply
    8,701.30x = 13,057.30 × 3,770.98
  4. Step 4: Simplify right side
    8,701.30x = 49,238,825.95
  5. Step 5: Solve for x
    x = 49,238,825.95/8,701.30
  6. Step 6: Final answer
    x = 5,658.79

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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.