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Finding the Fourth Proportional to 5,780.56, 7,977.22 and 3,262.70

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Solution

The fourth proportional to 5,780.56, 7,977.22 and 3,262.70 is: 4,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.56 : 7,977.22 = 3,262.70 : x
  2. Step 2: Convert to fraction form
    5,780.56/7,977.22 = 3,262.70/x
  3. Step 3: Cross multiply
    5,780.56x = 7,977.22 × 3,262.70
  4. Step 4: Simplify right side
    5,780.56x = 26,027,275.69
  5. Step 5: Solve for x
    x = 26,027,275.69/5,780.56
  6. Step 6: Final answer
    x = 4,502.55

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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.