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Finding the Fourth Proportional to 5,494.77, 8,285.27 and 5,035.50

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Solution

The fourth proportional to 5,494.77, 8,285.27 and 5,035.50 is: 7,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.77 : 8,285.27 = 5,035.50 : x
  2. Step 2: Convert to fraction form
    5,494.77/8,285.27 = 5,035.50/x
  3. Step 3: Cross multiply
    5,494.77x = 8,285.27 × 5,035.50
  4. Step 4: Simplify right side
    5,494.77x = 41,720,451.91
  5. Step 5: Solve for x
    x = 41,720,451.91/5,494.77
  6. Step 6: Final answer
    x = 7,592.76

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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.