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Finding the Fourth Proportional to 4,219.88, 6,315.17 and 3,470.54

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Solution

The fourth proportional to 4,219.88, 6,315.17 and 3,470.54 is: 5,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.88 : 6,315.17 = 3,470.54 : x
  2. Step 2: Convert to fraction form
    4,219.88/6,315.17 = 3,470.54/x
  3. Step 3: Cross multiply
    4,219.88x = 6,315.17 × 3,470.54
  4. Step 4: Simplify right side
    4,219.88x = 21,917,001.16
  5. Step 5: Solve for x
    x = 21,917,001.16/4,219.88
  6. Step 6: Final answer
    x = 5,193.76

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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.