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Finding the Fourth Proportional to 3,544.95, 5,314.35 and 1,463.66

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Solution

The fourth proportional to 3,544.95, 5,314.35 and 1,463.66 is: 2,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.95 : 5,314.35 = 1,463.66 : x
  2. Step 2: Convert to fraction form
    3,544.95/5,314.35 = 1,463.66/x
  3. Step 3: Cross multiply
    3,544.95x = 5,314.35 × 1,463.66
  4. Step 4: Simplify right side
    3,544.95x = 7,778,401.52
  5. Step 5: Solve for x
    x = 7,778,401.52/3,544.95
  6. Step 6: Final answer
    x = 2,194.22

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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.