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Finding the Fourth Proportional to 4,471.86, 6,707.49 and 2,006.01

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Solution

The fourth proportional to 4,471.86, 6,707.49 and 2,006.01 is: 3,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.86 : 6,707.49 = 2,006.01 : x
  2. Step 2: Convert to fraction form
    4,471.86/6,707.49 = 2,006.01/x
  3. Step 3: Cross multiply
    4,471.86x = 6,707.49 × 2,006.01
  4. Step 4: Simplify right side
    4,471.86x = 13,455,292.01
  5. Step 5: Solve for x
    x = 13,455,292.01/4,471.86
  6. Step 6: Final answer
    x = 3,008.88

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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.