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Finding the Fourth Proportional to 6,641.92, 9,959.52 and 3,719.44

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Solution

The fourth proportional to 6,641.92, 9,959.52 and 3,719.44 is: 5,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.92 : 9,959.52 = 3,719.44 : x
  2. Step 2: Convert to fraction form
    6,641.92/9,959.52 = 3,719.44/x
  3. Step 3: Cross multiply
    6,641.92x = 9,959.52 × 3,719.44
  4. Step 4: Simplify right side
    6,641.92x = 37,043,837.07
  5. Step 5: Solve for x
    x = 37,043,837.07/6,641.92
  6. Step 6: Final answer
    x = 5,577.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.