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Finding the Fourth Proportional to 3,649.42, 5,475.75 and 1,917.64

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Solution

The fourth proportional to 3,649.42, 5,475.75 and 1,917.64 is: 2,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.42 : 5,475.75 = 1,917.64 : x
  2. Step 2: Convert to fraction form
    3,649.42/5,475.75 = 1,917.64/x
  3. Step 3: Cross multiply
    3,649.42x = 5,475.75 × 1,917.64
  4. Step 4: Simplify right side
    3,649.42x = 10,500,517.23
  5. Step 5: Solve for x
    x = 10,500,517.23/3,649.42
  6. Step 6: Final answer
    x = 2,877.31

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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.