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Finding the Fourth Proportional to 4,038.40, 6,050.40 and 3,419.20

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Solution

The fourth proportional to 4,038.40, 6,050.40 and 3,419.20 is: 5,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.40 : 6,050.40 = 3,419.20 : x
  2. Step 2: Convert to fraction form
    4,038.40/6,050.40 = 3,419.20/x
  3. Step 3: Cross multiply
    4,038.40x = 6,050.40 × 3,419.20
  4. Step 4: Simplify right side
    4,038.40x = 20,687,527.68
  5. Step 5: Solve for x
    x = 20,687,527.68/4,038.40
  6. Step 6: Final answer
    x = 5,122.70

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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.