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Finding the Fourth Proportional to 4,470.98, 6,165.63 and 3,339.14

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Solution

The fourth proportional to 4,470.98, 6,165.63 and 3,339.14 is: 4,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.98 : 6,165.63 = 3,339.14 : x
  2. Step 2: Convert to fraction form
    4,470.98/6,165.63 = 3,339.14/x
  3. Step 3: Cross multiply
    4,470.98x = 6,165.63 × 3,339.14
  4. Step 4: Simplify right side
    4,470.98x = 20,587,870.93
  5. Step 5: Solve for x
    x = 20,587,870.93/4,470.98
  6. Step 6: Final answer
    x = 4,604.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.