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Finding the Fourth Proportional to 5,959.64, 8,932.96 and 4,007

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Solution

The fourth proportional to 5,959.64, 8,932.96 and 4,007 is: 6,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.64 : 8,932.96 = 4,007 : x
  2. Step 2: Convert to fraction form
    5,959.64/8,932.96 = 4,007/x
  3. Step 3: Cross multiply
    5,959.64x = 8,932.96 × 4,007
  4. Step 4: Simplify right side
    5,959.64x = 35,794,370.72
  5. Step 5: Solve for x
    x = 35,794,370.72/5,959.64
  6. Step 6: Final answer
    x = 6,006.13

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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.