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Finding the Fourth Proportional to 5,182.32, 7,773.60 and 4,041.84

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Solution

The fourth proportional to 5,182.32, 7,773.60 and 4,041.84 is: 6,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.32 : 7,773.60 = 4,041.84 : x
  2. Step 2: Convert to fraction form
    5,182.32/7,773.60 = 4,041.84/x
  3. Step 3: Cross multiply
    5,182.32x = 7,773.60 × 4,041.84
  4. Step 4: Simplify right side
    5,182.32x = 31,419,647.42
  5. Step 5: Solve for x
    x = 31,419,647.42/5,182.32
  6. Step 6: Final answer
    x = 6,062.85

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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.