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Finding the Fourth Proportional to 3,544.40, 5,315.70 and 1,462.70

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Solution

The fourth proportional to 3,544.40, 5,315.70 and 1,462.70 is: 2,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.40 : 5,315.70 = 1,462.70 : x
  2. Step 2: Convert to fraction form
    3,544.40/5,315.70 = 1,462.70/x
  3. Step 3: Cross multiply
    3,544.40x = 5,315.70 × 1,462.70
  4. Step 4: Simplify right side
    3,544.40x = 7,775,274.39
  5. Step 5: Solve for x
    x = 7,775,274.39/3,544.40
  6. Step 6: Final answer
    x = 2,193.68

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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.