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Finding the Fourth Proportional to 3,568.16, 5,346.84 and 2,642.24

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Solution

The fourth proportional to 3,568.16, 5,346.84 and 2,642.24 is: 3,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.16 : 5,346.84 = 2,642.24 : x
  2. Step 2: Convert to fraction form
    3,568.16/5,346.84 = 2,642.24/x
  3. Step 3: Cross multiply
    3,568.16x = 5,346.84 × 2,642.24
  4. Step 4: Simplify right side
    3,568.16x = 14,127,634.52
  5. Step 5: Solve for x
    x = 14,127,634.52/3,568.16
  6. Step 6: Final answer
    x = 3,959.36

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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.