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Finding the Fourth Proportional to 5,293.60, 7,934.23 and 4,254.78

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Solution

The fourth proportional to 5,293.60, 7,934.23 and 4,254.78 is: 6,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.60 : 7,934.23 = 4,254.78 : x
  2. Step 2: Convert to fraction form
    5,293.60/7,934.23 = 4,254.78/x
  3. Step 3: Cross multiply
    5,293.60x = 7,934.23 × 4,254.78
  4. Step 4: Simplify right side
    5,293.60x = 33,758,403.12
  5. Step 5: Solve for x
    x = 33,758,403.12/5,293.60
  6. Step 6: Final answer
    x = 6,377.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.