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Finding the Fourth Proportional to 5,348.69, 8,022.51 and 1,649.92

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Solution

The fourth proportional to 5,348.69, 8,022.51 and 1,649.92 is: 2,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.69 : 8,022.51 = 1,649.92 : x
  2. Step 2: Convert to fraction form
    5,348.69/8,022.51 = 1,649.92/x
  3. Step 3: Cross multiply
    5,348.69x = 8,022.51 × 1,649.92
  4. Step 4: Simplify right side
    5,348.69x = 13,236,499.70
  5. Step 5: Solve for x
    x = 13,236,499.70/5,348.69
  6. Step 6: Final answer
    x = 2,474.72

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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.