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Finding the Fourth Proportional to 5,432.26, 7,496.50 and 2,948.26

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Solution

The fourth proportional to 5,432.26, 7,496.50 and 2,948.26 is: 4,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.26 : 7,496.50 = 2,948.26 : x
  2. Step 2: Convert to fraction form
    5,432.26/7,496.50 = 2,948.26/x
  3. Step 3: Cross multiply
    5,432.26x = 7,496.50 × 2,948.26
  4. Step 4: Simplify right side
    5,432.26x = 22,101,631.09
  5. Step 5: Solve for x
    x = 22,101,631.09/5,432.26
  6. Step 6: Final answer
    x = 4,068.59

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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.