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Finding the Fourth Proportional to 4,753.28, 6,561.33 and 4,255

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Solution

The fourth proportional to 4,753.28, 6,561.33 and 4,255 is: 5,873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.28 : 6,561.33 = 4,255 : x
  2. Step 2: Convert to fraction form
    4,753.28/6,561.33 = 4,255/x
  3. Step 3: Cross multiply
    4,753.28x = 6,561.33 × 4,255
  4. Step 4: Simplify right side
    4,753.28x = 27,918,459.15
  5. Step 5: Solve for x
    x = 27,918,459.15/4,753.28
  6. Step 6: Final answer
    x = 5,873.51

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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.