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Finding the Fourth Proportional to 3,363.18, 5,047.20 and 1,415.40

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Solution

The fourth proportional to 3,363.18, 5,047.20 and 1,415.40 is: 2,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.18 : 5,047.20 = 1,415.40 : x
  2. Step 2: Convert to fraction form
    3,363.18/5,047.20 = 1,415.40/x
  3. Step 3: Cross multiply
    3,363.18x = 5,047.20 × 1,415.40
  4. Step 4: Simplify right side
    3,363.18x = 7,143,806.88
  5. Step 5: Solve for x
    x = 7,143,806.88/3,363.18
  6. Step 6: Final answer
    x = 2,124.12

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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.