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Finding the Fourth Proportional to 3,039.59, 4,561.47 and 2,000.09

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Solution

The fourth proportional to 3,039.59, 4,561.47 and 2,000.09 is: 3,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.59 : 4,561.47 = 2,000.09 : x
  2. Step 2: Convert to fraction form
    3,039.59/4,561.47 = 2,000.09/x
  3. Step 3: Cross multiply
    3,039.59x = 4,561.47 × 2,000.09
  4. Step 4: Simplify right side
    3,039.59x = 9,123,327.72
  5. Step 5: Solve for x
    x = 9,123,327.72/3,039.59
  6. Step 6: Final answer
    x = 3,001.50

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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.