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Finding the Fourth Proportional to 5,264.01, 7,264.38 and 2,874

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Solution

The fourth proportional to 5,264.01, 7,264.38 and 2,874 is: 3,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.01 : 7,264.38 = 2,874 : x
  2. Step 2: Convert to fraction form
    5,264.01/7,264.38 = 2,874/x
  3. Step 3: Cross multiply
    5,264.01x = 7,264.38 × 2,874
  4. Step 4: Simplify right side
    5,264.01x = 20,877,828.12
  5. Step 5: Solve for x
    x = 20,877,828.12/5,264.01
  6. Step 6: Final answer
    x = 3,966.15

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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.