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Finding the Fourth Proportional to 5,244.24, 7,866.48 and 2,645.76

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Solution

The fourth proportional to 5,244.24, 7,866.48 and 2,645.76 is: 3,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.24 : 7,866.48 = 2,645.76 : x
  2. Step 2: Convert to fraction form
    5,244.24/7,866.48 = 2,645.76/x
  3. Step 3: Cross multiply
    5,244.24x = 7,866.48 × 2,645.76
  4. Step 4: Simplify right side
    5,244.24x = 20,812,818.12
  5. Step 5: Solve for x
    x = 20,812,818.12/5,244.24
  6. Step 6: Final answer
    x = 3,968.70

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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.