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Finding the Fourth Proportional to 5,494.28, 8,284.52 and 5,035

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Solution

The fourth proportional to 5,494.28, 8,284.52 and 5,035 is: 7,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.28 : 8,284.52 = 5,035 : x
  2. Step 2: Convert to fraction form
    5,494.28/8,284.52 = 5,035/x
  3. Step 3: Cross multiply
    5,494.28x = 8,284.52 × 5,035
  4. Step 4: Simplify right side
    5,494.28x = 41,712,558.20
  5. Step 5: Solve for x
    x = 41,712,558.20/5,494.28
  6. Step 6: Final answer
    x = 7,592.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.