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Finding the Fourth Proportional to 3,649.80, 5,474.70 and 1,460.10

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Solution

The fourth proportional to 3,649.80, 5,474.70 and 1,460.10 is: 2,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.80 : 5,474.70 = 1,460.10 : x
  2. Step 2: Convert to fraction form
    3,649.80/5,474.70 = 1,460.10/x
  3. Step 3: Cross multiply
    3,649.80x = 5,474.70 × 1,460.10
  4. Step 4: Simplify right side
    3,649.80x = 7,993,609.47
  5. Step 5: Solve for x
    x = 7,993,609.47/3,649.80
  6. Step 6: Final answer
    x = 2,190.15

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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.