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Finding the Fourth Proportional to 5,959.71, 8,934.03 and 3,188.30

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Solution

The fourth proportional to 5,959.71, 8,934.03 and 3,188.30 is: 4,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.71 : 8,934.03 = 3,188.30 : x
  2. Step 2: Convert to fraction form
    5,959.71/8,934.03 = 3,188.30/x
  3. Step 3: Cross multiply
    5,959.71x = 8,934.03 × 3,188.30
  4. Step 4: Simplify right side
    5,959.71x = 28,484,323.18
  5. Step 5: Solve for x
    x = 28,484,323.18/5,959.71
  6. Step 6: Final answer
    x = 4,779.48

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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.