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Finding the Fourth Proportional to 3,095.52, 4,642.08 and 1,147.28

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Solution

The fourth proportional to 3,095.52, 4,642.08 and 1,147.28 is: 1,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.52 : 4,642.08 = 1,147.28 : x
  2. Step 2: Convert to fraction form
    3,095.52/4,642.08 = 1,147.28/x
  3. Step 3: Cross multiply
    3,095.52x = 4,642.08 × 1,147.28
  4. Step 4: Simplify right side
    3,095.52x = 5,325,765.54
  5. Step 5: Solve for x
    x = 5,325,765.54/3,095.52
  6. Step 6: Final answer
    x = 1,720.48

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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.