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Finding the Fourth Proportional to 5,468.16, 7,546.80 and 4,139.76

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Solution

The fourth proportional to 5,468.16, 7,546.80 and 4,139.76 is: 5,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.16 : 7,546.80 = 4,139.76 : x
  2. Step 2: Convert to fraction form
    5,468.16/7,546.80 = 4,139.76/x
  3. Step 3: Cross multiply
    5,468.16x = 7,546.80 × 4,139.76
  4. Step 4: Simplify right side
    5,468.16x = 31,241,940.77
  5. Step 5: Solve for x
    x = 31,241,940.77/5,468.16
  6. Step 6: Final answer
    x = 5,713.43

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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.