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Finding the Fourth Proportional to 5,494.78, 8,285.27 and 5,035.51

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Solution

The fourth proportional to 5,494.78, 8,285.27 and 5,035.51 is: 7,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.78 : 8,285.27 = 5,035.51 : x
  2. Step 2: Convert to fraction form
    5,494.78/8,285.27 = 5,035.51/x
  3. Step 3: Cross multiply
    5,494.78x = 8,285.27 × 5,035.51
  4. Step 4: Simplify right side
    5,494.78x = 41,720,559.94
  5. Step 5: Solve for x
    x = 41,720,559.94/5,494.78
  6. Step 6: Final answer
    x = 7,592.76

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Why These Related Problems?

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