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Finding the Fourth Proportional to 5,347.64, 8,022.33 and 1,649.01

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Solution

The fourth proportional to 5,347.64, 8,022.33 and 1,649.01 is: 2,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.64 : 8,022.33 = 1,649.01 : x
  2. Step 2: Convert to fraction form
    5,347.64/8,022.33 = 1,649.01/x
  3. Step 3: Cross multiply
    5,347.64x = 8,022.33 × 1,649.01
  4. Step 4: Simplify right side
    5,347.64x = 13,228,902.39
  5. Step 5: Solve for x
    x = 13,228,902.39/5,347.64
  6. Step 6: Final answer
    x = 2,473.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.