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Finding the Fourth Proportional to 4,102.54, 6,153.15 and 1,469.56

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Solution

The fourth proportional to 4,102.54, 6,153.15 and 1,469.56 is: 2,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.54 : 6,153.15 = 1,469.56 : x
  2. Step 2: Convert to fraction form
    4,102.54/6,153.15 = 1,469.56/x
  3. Step 3: Cross multiply
    4,102.54x = 6,153.15 × 1,469.56
  4. Step 4: Simplify right side
    4,102.54x = 9,042,423.11
  5. Step 5: Solve for x
    x = 9,042,423.11/4,102.54
  6. Step 6: Final answer
    x = 2,204.10

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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.