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Finding the Fourth Proportional to 3,643.20, 5,032.80 and 3,124.80

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Solution

The fourth proportional to 3,643.20, 5,032.80 and 3,124.80 is: 4,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.20 : 5,032.80 = 3,124.80 : x
  2. Step 2: Convert to fraction form
    3,643.20/5,032.80 = 3,124.80/x
  3. Step 3: Cross multiply
    3,643.20x = 5,032.80 × 3,124.80
  4. Step 4: Simplify right side
    3,643.20x = 15,726,493.44
  5. Step 5: Solve for x
    x = 15,726,493.44/3,643.20
  6. Step 6: Final answer
    x = 4,316.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.