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Finding the Fourth Proportional to 5,770.14, 8,655.20 and 1,387.59

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Solution

The fourth proportional to 5,770.14, 8,655.20 and 1,387.59 is: 2,081.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.14 : 8,655.20 = 1,387.59 : x
  2. Step 2: Convert to fraction form
    5,770.14/8,655.20 = 1,387.59/x
  3. Step 3: Cross multiply
    5,770.14x = 8,655.20 × 1,387.59
  4. Step 4: Simplify right side
    5,770.14x = 12,009,868.97
  5. Step 5: Solve for x
    x = 12,009,868.97/5,770.14
  6. Step 6: Final answer
    x = 2,081.38

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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.