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Finding the Fourth Proportional to 3,649.58, 5,470.68 and 2,089.04

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Solution

The fourth proportional to 3,649.58, 5,470.68 and 2,089.04 is: 3,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.58 : 5,470.68 = 2,089.04 : x
  2. Step 2: Convert to fraction form
    3,649.58/5,470.68 = 2,089.04/x
  3. Step 3: Cross multiply
    3,649.58x = 5,470.68 × 2,089.04
  4. Step 4: Simplify right side
    3,649.58x = 11,428,469.35
  5. Step 5: Solve for x
    x = 11,428,469.35/3,649.58
  6. Step 6: Final answer
    x = 3,131.45

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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.