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Finding the Fourth Proportional to 5,799.70, 8,700.10 and 2,102.86

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Solution

The fourth proportional to 5,799.70, 8,700.10 and 2,102.86 is: 3,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.70 : 8,700.10 = 2,102.86 : x
  2. Step 2: Convert to fraction form
    5,799.70/8,700.10 = 2,102.86/x
  3. Step 3: Cross multiply
    5,799.70x = 8,700.10 × 2,102.86
  4. Step 4: Simplify right side
    5,799.70x = 18,295,092.29
  5. Step 5: Solve for x
    x = 18,295,092.29/5,799.70
  6. Step 6: Final answer
    x = 3,154.49

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