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Finding the Fourth Proportional to 5,972.94, 8,959.50 and 2,077.48

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Solution

The fourth proportional to 5,972.94, 8,959.50 and 2,077.48 is: 3,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.94 : 8,959.50 = 2,077.48 : x
  2. Step 2: Convert to fraction form
    5,972.94/8,959.50 = 2,077.48/x
  3. Step 3: Cross multiply
    5,972.94x = 8,959.50 × 2,077.48
  4. Step 4: Simplify right side
    5,972.94x = 18,613,182.06
  5. Step 5: Solve for x
    x = 18,613,182.06/5,972.94
  6. Step 6: Final answer
    x = 3,116.25

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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.