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Finding the Fourth Proportional to 3,649.32, 5,475.80 and 1,459.59

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Solution

The fourth proportional to 3,649.32, 5,475.80 and 1,459.59 is: 2,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.32 : 5,475.80 = 1,459.59 : x
  2. Step 2: Convert to fraction form
    3,649.32/5,475.80 = 1,459.59/x
  3. Step 3: Cross multiply
    3,649.32x = 5,475.80 × 1,459.59
  4. Step 4: Simplify right side
    3,649.32x = 7,992,406.04
  5. Step 5: Solve for x
    x = 7,992,406.04/3,649.32
  6. Step 6: Final answer
    x = 2,190.11

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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.