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Finding the Fourth Proportional to 5,431.50, 7,495.47 and 2,947.50

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Solution

The fourth proportional to 5,431.50, 7,495.47 and 2,947.50 is: 4,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.50 : 7,495.47 = 2,947.50 : x
  2. Step 2: Convert to fraction form
    5,431.50/7,495.47 = 2,947.50/x
  3. Step 3: Cross multiply
    5,431.50x = 7,495.47 × 2,947.50
  4. Step 4: Simplify right side
    5,431.50x = 22,092,897.83
  5. Step 5: Solve for x
    x = 22,092,897.83/5,431.50
  6. Step 6: Final answer
    x = 4,067.55

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