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Finding the Fourth Proportional to 5,246.56, 7,872.56 and 2,326.88

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Solution

The fourth proportional to 5,246.56, 7,872.56 and 2,326.88 is: 3,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.56 : 7,872.56 = 2,326.88 : x
  2. Step 2: Convert to fraction form
    5,246.56/7,872.56 = 2,326.88/x
  3. Step 3: Cross multiply
    5,246.56x = 7,872.56 × 2,326.88
  4. Step 4: Simplify right side
    5,246.56x = 18,318,502.41
  5. Step 5: Solve for x
    x = 18,318,502.41/5,246.56
  6. Step 6: Final answer
    x = 3,491.53

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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.