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Finding the Fourth Proportional to 5,327.34, 7,952.74 and 4,230.20

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Solution

The fourth proportional to 5,327.34, 7,952.74 and 4,230.20 is: 6,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.34 : 7,952.74 = 4,230.20 : x
  2. Step 2: Convert to fraction form
    5,327.34/7,952.74 = 4,230.20/x
  3. Step 3: Cross multiply
    5,327.34x = 7,952.74 × 4,230.20
  4. Step 4: Simplify right side
    5,327.34x = 33,641,680.75
  5. Step 5: Solve for x
    x = 33,641,680.75/5,327.34
  6. Step 6: Final answer
    x = 6,314.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.