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Finding the Fourth Proportional to 5,984.38, 8,959.50 and 4,753.54

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Solution

The fourth proportional to 5,984.38, 8,959.50 and 4,753.54 is: 7,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.38 : 8,959.50 = 4,753.54 : x
  2. Step 2: Convert to fraction form
    5,984.38/8,959.50 = 4,753.54/x
  3. Step 3: Cross multiply
    5,984.38x = 8,959.50 × 4,753.54
  4. Step 4: Simplify right side
    5,984.38x = 42,589,341.63
  5. Step 5: Solve for x
    x = 42,589,341.63/5,984.38
  6. Step 6: Final answer
    x = 7,116.75

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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.