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Finding the Fourth Proportional to 5,264.28, 7,884.54 and 3,069.72

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Solution

The fourth proportional to 5,264.28, 7,884.54 and 3,069.72 is: 4,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.28 : 7,884.54 = 3,069.72 : x
  2. Step 2: Convert to fraction form
    5,264.28/7,884.54 = 3,069.72/x
  3. Step 3: Cross multiply
    5,264.28x = 7,884.54 × 3,069.72
  4. Step 4: Simplify right side
    5,264.28x = 24,203,330.13
  5. Step 5: Solve for x
    x = 24,203,330.13/5,264.28
  6. Step 6: Final answer
    x = 4,597.65

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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.