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Finding the Fourth Proportional to 3,442.38, 4,752.24 and 2,184.72

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Solution

The fourth proportional to 3,442.38, 4,752.24 and 2,184.72 is: 3,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.38 : 4,752.24 = 2,184.72 : x
  2. Step 2: Convert to fraction form
    3,442.38/4,752.24 = 2,184.72/x
  3. Step 3: Cross multiply
    3,442.38x = 4,752.24 × 2,184.72
  4. Step 4: Simplify right side
    3,442.38x = 10,382,313.77
  5. Step 5: Solve for x
    x = 10,382,313.77/3,442.38
  6. Step 6: Final answer
    x = 3,016.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.