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Finding the Fourth Proportional to 5,047.92, 6,966.72 and 2,952

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Solution

The fourth proportional to 5,047.92, 6,966.72 and 2,952 is: 4,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.92 : 6,966.72 = 2,952 : x
  2. Step 2: Convert to fraction form
    5,047.92/6,966.72 = 2,952/x
  3. Step 3: Cross multiply
    5,047.92x = 6,966.72 × 2,952
  4. Step 4: Simplify right side
    5,047.92x = 20,565,757.44
  5. Step 5: Solve for x
    x = 20,565,757.44/5,047.92
  6. Step 6: Final answer
    x = 4,074.11

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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.