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Finding the Fourth Proportional to 5,478.28, 8,218.22 and 2,881.40

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Solution

The fourth proportional to 5,478.28, 8,218.22 and 2,881.40 is: 4,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.28 : 8,218.22 = 2,881.40 : x
  2. Step 2: Convert to fraction form
    5,478.28/8,218.22 = 2,881.40/x
  3. Step 3: Cross multiply
    5,478.28x = 8,218.22 × 2,881.40
  4. Step 4: Simplify right side
    5,478.28x = 23,679,979.11
  5. Step 5: Solve for x
    x = 23,679,979.11/5,478.28
  6. Step 6: Final answer
    x = 4,322.52

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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.