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Finding the Fourth Proportional to 4,752.28, 6,559.95 and 4,254

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Solution

The fourth proportional to 4,752.28, 6,559.95 and 4,254 is: 5,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.28 : 6,559.95 = 4,254 : x
  2. Step 2: Convert to fraction form
    4,752.28/6,559.95 = 4,254/x
  3. Step 3: Cross multiply
    4,752.28x = 6,559.95 × 4,254
  4. Step 4: Simplify right side
    4,752.28x = 27,906,027.30
  5. Step 5: Solve for x
    x = 27,906,027.30/4,752.28
  6. Step 6: Final answer
    x = 5,872.13

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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.