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Finding the Fourth Proportional to 5,544.64, 8,317.10 and 1,649.08

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Solution

The fourth proportional to 5,544.64, 8,317.10 and 1,649.08 is: 2,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,544.64 : 8,317.10 = 1,649.08 : x
  2. Step 2: Convert to fraction form
    5,544.64/8,317.10 = 1,649.08/x
  3. Step 3: Cross multiply
    5,544.64x = 8,317.10 × 1,649.08
  4. Step 4: Simplify right side
    5,544.64x = 13,715,563.27
  5. Step 5: Solve for x
    x = 13,715,563.27/5,544.64
  6. Step 6: Final answer
    x = 2,473.66

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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.