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Finding the Fourth Proportional to 5,544.59, 8,317.34 and 1,649

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Solution

The fourth proportional to 5,544.59, 8,317.34 and 1,649 is: 2,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,544.59 : 8,317.34 = 1,649 : x
  2. Step 2: Convert to fraction form
    5,544.59/8,317.34 = 1,649/x
  3. Step 3: Cross multiply
    5,544.59x = 8,317.34 × 1,649
  4. Step 4: Simplify right side
    5,544.59x = 13,715,293.66
  5. Step 5: Solve for x
    x = 13,715,293.66/5,544.59
  6. Step 6: Final answer
    x = 2,473.64

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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.