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Finding the Fourth Proportional to 5,246.88, 7,868.64 and 2,327.76

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Solution

The fourth proportional to 5,246.88, 7,868.64 and 2,327.76 is: 3,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.88 : 7,868.64 = 2,327.76 : x
  2. Step 2: Convert to fraction form
    5,246.88/7,868.64 = 2,327.76/x
  3. Step 3: Cross multiply
    5,246.88x = 7,868.64 × 2,327.76
  4. Step 4: Simplify right side
    5,246.88x = 18,316,305.45
  5. Step 5: Solve for x
    x = 18,316,305.45/5,246.88
  6. Step 6: Final answer
    x = 3,490.89

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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.