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Finding the Fourth Proportional to 4,972.76, 6,862.02 and 2,876.48

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Solution

The fourth proportional to 4,972.76, 6,862.02 and 2,876.48 is: 3,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.76 : 6,862.02 = 2,876.48 : x
  2. Step 2: Convert to fraction form
    4,972.76/6,862.02 = 2,876.48/x
  3. Step 3: Cross multiply
    4,972.76x = 6,862.02 × 2,876.48
  4. Step 4: Simplify right side
    4,972.76x = 19,738,463.29
  5. Step 5: Solve for x
    x = 19,738,463.29/4,972.76
  6. Step 6: Final answer
    x = 3,969.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.