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Finding the Fourth Proportional to 5,474.38, 7,535.64 and 4,774.54

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Solution

The fourth proportional to 5,474.38, 7,535.64 and 4,774.54 is: 6,572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.38 : 7,535.64 = 4,774.54 : x
  2. Step 2: Convert to fraction form
    5,474.38/7,535.64 = 4,774.54/x
  3. Step 3: Cross multiply
    5,474.38x = 7,535.64 × 4,774.54
  4. Step 4: Simplify right side
    5,474.38x = 35,979,214.61
  5. Step 5: Solve for x
    x = 35,979,214.61/5,474.38
  6. Step 6: Final answer
    x = 6,572.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.