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Finding the Fourth Proportional to 4,470.08, 6,706.22 and 2,006.63

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Solution

The fourth proportional to 4,470.08, 6,706.22 and 2,006.63 is: 3,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.08 : 6,706.22 = 2,006.63 : x
  2. Step 2: Convert to fraction form
    4,470.08/6,706.22 = 2,006.63/x
  3. Step 3: Cross multiply
    4,470.08x = 6,706.22 × 2,006.63
  4. Step 4: Simplify right side
    4,470.08x = 13,456,858.67
  5. Step 5: Solve for x
    x = 13,456,858.67/4,470.08
  6. Step 6: Final answer
    x = 3,010.43

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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.