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Finding the Fourth Proportional to 4,744.64, 6,548.64 and 2,882.72

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Solution

The fourth proportional to 4,744.64, 6,548.64 and 2,882.72 is: 3,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.64 : 6,548.64 = 2,882.72 : x
  2. Step 2: Convert to fraction form
    4,744.64/6,548.64 = 2,882.72/x
  3. Step 3: Cross multiply
    4,744.64x = 6,548.64 × 2,882.72
  4. Step 4: Simplify right side
    4,744.64x = 18,877,895.50
  5. Step 5: Solve for x
    x = 18,877,895.50/4,744.64
  6. Step 6: Final answer
    x = 3,978.78

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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.