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Finding the Fourth Proportional to 5,236.76, 7,854.20 and 1,538.92

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Solution

The fourth proportional to 5,236.76, 7,854.20 and 1,538.92 is: 2,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.76 : 7,854.20 = 1,538.92 : x
  2. Step 2: Convert to fraction form
    5,236.76/7,854.20 = 1,538.92/x
  3. Step 3: Cross multiply
    5,236.76x = 7,854.20 × 1,538.92
  4. Step 4: Simplify right side
    5,236.76x = 12,086,985.46
  5. Step 5: Solve for x
    x = 12,086,985.46/5,236.76
  6. Step 6: Final answer
    x = 2,308.10

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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.