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Finding the Fourth Proportional to 3,179.52, 4,386.24 and 2,002.32

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Solution

The fourth proportional to 3,179.52, 4,386.24 and 2,002.32 is: 2,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.52 : 4,386.24 = 2,002.32 : x
  2. Step 2: Convert to fraction form
    3,179.52/4,386.24 = 2,002.32/x
  3. Step 3: Cross multiply
    3,179.52x = 4,386.24 × 2,002.32
  4. Step 4: Simplify right side
    3,179.52x = 8,782,656.08
  5. Step 5: Solve for x
    x = 8,782,656.08/3,179.52
  6. Step 6: Final answer
    x = 2,762.26

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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.