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Finding the Fourth Proportional to 4,203.72, 6,306.80 and 2,014.32

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Solution

The fourth proportional to 4,203.72, 6,306.80 and 2,014.32 is: 3,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.72 : 6,306.80 = 2,014.32 : x
  2. Step 2: Convert to fraction form
    4,203.72/6,306.80 = 2,014.32/x
  3. Step 3: Cross multiply
    4,203.72x = 6,306.80 × 2,014.32
  4. Step 4: Simplify right side
    4,203.72x = 12,703,913.38
  5. Step 5: Solve for x
    x = 12,703,913.38/4,203.72
  6. Step 6: Final answer
    x = 3,022.06

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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.