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Finding the Fourth Proportional to 3,649.52, 5,478.38 and 1,459.79

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Solution

The fourth proportional to 3,649.52, 5,478.38 and 1,459.79 is: 2,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.52 : 5,478.38 = 1,459.79 : x
  2. Step 2: Convert to fraction form
    3,649.52/5,478.38 = 1,459.79/x
  3. Step 3: Cross multiply
    3,649.52x = 5,478.38 × 1,459.79
  4. Step 4: Simplify right side
    3,649.52x = 7,997,249.65
  5. Step 5: Solve for x
    x = 7,997,249.65/3,649.52
  6. Step 6: Final answer
    x = 2,191.32

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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.