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Finding the Fourth Proportional to 5,182.88, 7,776.88 and 2,260.76

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Solution

The fourth proportional to 5,182.88, 7,776.88 and 2,260.76 is: 3,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.88 : 7,776.88 = 2,260.76 : x
  2. Step 2: Convert to fraction form
    5,182.88/7,776.88 = 2,260.76/x
  3. Step 3: Cross multiply
    5,182.88x = 7,776.88 × 2,260.76
  4. Step 4: Simplify right side
    5,182.88x = 17,581,659.23
  5. Step 5: Solve for x
    x = 17,581,659.23/5,182.88
  6. Step 6: Final answer
    x = 3,392.26

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1.5x scale

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.