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Finding the Fourth Proportional to 4,151.70, 6,227.54 and 2,419.10

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Solution

The fourth proportional to 4,151.70, 6,227.54 and 2,419.10 is: 3,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.70 : 6,227.54 = 2,419.10 : x
  2. Step 2: Convert to fraction form
    4,151.70/6,227.54 = 2,419.10/x
  3. Step 3: Cross multiply
    4,151.70x = 6,227.54 × 2,419.10
  4. Step 4: Simplify right side
    4,151.70x = 15,065,042.01
  5. Step 5: Solve for x
    x = 15,065,042.01/4,151.70
  6. Step 6: Final answer
    x = 3,628.64

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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.