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Finding the Fourth Proportional to 4,314.15, 6,470.01 and 1,351.98

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Solution

The fourth proportional to 4,314.15, 6,470.01 and 1,351.98 is: 2,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.15 : 6,470.01 = 1,351.98 : x
  2. Step 2: Convert to fraction form
    4,314.15/6,470.01 = 1,351.98/x
  3. Step 3: Cross multiply
    4,314.15x = 6,470.01 × 1,351.98
  4. Step 4: Simplify right side
    4,314.15x = 8,747,324.12
  5. Step 5: Solve for x
    x = 8,747,324.12/4,314.15
  6. Step 6: Final answer
    x = 2,027.59

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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.