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Finding the Fourth Proportional to 5,070.58, 6,982.14 and 4,077.52

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Solution

The fourth proportional to 5,070.58, 6,982.14 and 4,077.52 is: 5,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.58 : 6,982.14 = 4,077.52 : x
  2. Step 2: Convert to fraction form
    5,070.58/6,982.14 = 4,077.52/x
  3. Step 3: Cross multiply
    5,070.58x = 6,982.14 × 4,077.52
  4. Step 4: Simplify right side
    5,070.58x = 28,469,815.49
  5. Step 5: Solve for x
    x = 28,469,815.49/5,070.58
  6. Step 6: Final answer
    x = 5,614.71

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