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Finding the Fourth Proportional to 5,348.64, 8,020.02 and 1,649.84

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Solution

The fourth proportional to 5,348.64, 8,020.02 and 1,649.84 is: 2,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.64 : 8,020.02 = 1,649.84 : x
  2. Step 2: Convert to fraction form
    5,348.64/8,020.02 = 1,649.84/x
  3. Step 3: Cross multiply
    5,348.64x = 8,020.02 × 1,649.84
  4. Step 4: Simplify right side
    5,348.64x = 13,231,741.55
  5. Step 5: Solve for x
    x = 13,231,741.55/5,348.64
  6. Step 6: Final answer
    x = 2,473.85

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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.