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Finding the Fourth Proportional to 5,235.76, 7,841.31 and 4,132.74

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Solution

The fourth proportional to 5,235.76, 7,841.31 and 4,132.74 is: 6,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.76 : 7,841.31 = 4,132.74 : x
  2. Step 2: Convert to fraction form
    5,235.76/7,841.31 = 4,132.74/x
  3. Step 3: Cross multiply
    5,235.76x = 7,841.31 × 4,132.74
  4. Step 4: Simplify right side
    5,235.76x = 32,406,095.49
  5. Step 5: Solve for x
    x = 32,406,095.49/5,235.76
  6. Step 6: Final answer
    x = 6,189.38

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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.