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Finding the Fourth Proportional to 4,757.28, 6,568.14 and 4,259.08

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Solution

The fourth proportional to 4,757.28, 6,568.14 and 4,259.08 is: 5,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.28 : 6,568.14 = 4,259.08 : x
  2. Step 2: Convert to fraction form
    4,757.28/6,568.14 = 4,259.08/x
  3. Step 3: Cross multiply
    4,757.28x = 6,568.14 × 4,259.08
  4. Step 4: Simplify right side
    4,757.28x = 27,974,233.71
  5. Step 5: Solve for x
    x = 27,974,233.71/4,757.28
  6. Step 6: Final answer
    x = 5,880.30

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1.5x scale

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.