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Finding the Fourth Proportional to 4,129.38, 6,195.03 and 2,280.06

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Solution

The fourth proportional to 4,129.38, 6,195.03 and 2,280.06 is: 3,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.38 : 6,195.03 = 2,280.06 : x
  2. Step 2: Convert to fraction form
    4,129.38/6,195.03 = 2,280.06/x
  3. Step 3: Cross multiply
    4,129.38x = 6,195.03 × 2,280.06
  4. Step 4: Simplify right side
    4,129.38x = 14,125,040.10
  5. Step 5: Solve for x
    x = 14,125,040.10/4,129.38
  6. Step 6: Final answer
    x = 3,420.62

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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.