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Finding the Fourth Proportional to 3,544.32, 5,340.14 and 3,211.19

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Solution

The fourth proportional to 3,544.32, 5,340.14 and 3,211.19 is: 4,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.32 : 5,340.14 = 3,211.19 : x
  2. Step 2: Convert to fraction form
    3,544.32/5,340.14 = 3,211.19/x
  3. Step 3: Cross multiply
    3,544.32x = 5,340.14 × 3,211.19
  4. Step 4: Simplify right side
    3,544.32x = 17,148,161.41
  5. Step 5: Solve for x
    x = 17,148,161.41/3,544.32
  6. Step 6: Final answer
    x = 4,838.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.