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Finding the Fourth Proportional to 4,203.12, 6,295.80 and 3,419.52

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Solution

The fourth proportional to 4,203.12, 6,295.80 and 3,419.52 is: 5,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.12 : 6,295.80 = 3,419.52 : x
  2. Step 2: Convert to fraction form
    4,203.12/6,295.80 = 3,419.52/x
  3. Step 3: Cross multiply
    4,203.12x = 6,295.80 × 3,419.52
  4. Step 4: Simplify right side
    4,203.12x = 21,528,614.02
  5. Step 5: Solve for x
    x = 21,528,614.02/4,203.12
  6. Step 6: Final answer
    x = 5,122.06

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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.