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Finding the Fourth Proportional to 3,649.40, 5,474.10 and 1,458.68

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Solution

The fourth proportional to 3,649.40, 5,474.10 and 1,458.68 is: 2,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.40 : 5,474.10 = 1,458.68 : x
  2. Step 2: Convert to fraction form
    3,649.40/5,474.10 = 1,458.68/x
  3. Step 3: Cross multiply
    3,649.40x = 5,474.10 × 1,458.68
  4. Step 4: Simplify right side
    3,649.40x = 7,984,960.19
  5. Step 5: Solve for x
    x = 7,984,960.19/3,649.40
  6. Step 6: Final answer
    x = 2,188.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.