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Finding the Fourth Proportional to 3,649.68, 5,474.30 and 1,456.83

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Solution

The fourth proportional to 3,649.68, 5,474.30 and 1,456.83 is: 2,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.68 : 5,474.30 = 1,456.83 : x
  2. Step 2: Convert to fraction form
    3,649.68/5,474.30 = 1,456.83/x
  3. Step 3: Cross multiply
    3,649.68x = 5,474.30 × 1,456.83
  4. Step 4: Simplify right side
    3,649.68x = 7,975,117.18
  5. Step 5: Solve for x
    x = 7,975,117.18/3,649.68
  6. Step 6: Final answer
    x = 2,185.16

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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.