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Finding the Fourth Proportional to 4,471.80, 6,707.70 and 2,006.70

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Solution

The fourth proportional to 4,471.80, 6,707.70 and 2,006.70 is: 3,010.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.80 : 6,707.70 = 2,006.70 : x
  2. Step 2: Convert to fraction form
    4,471.80/6,707.70 = 2,006.70/x
  3. Step 3: Cross multiply
    4,471.80x = 6,707.70 × 2,006.70
  4. Step 4: Simplify right side
    4,471.80x = 13,460,341.59
  5. Step 5: Solve for x
    x = 13,460,341.59/4,471.80
  6. Step 6: Final answer
    x = 3,010.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.