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Finding the Fourth Proportional to 2,909.88, 4,342.05 and 2,559.96

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Solution

The fourth proportional to 2,909.88, 4,342.05 and 2,559.96 is: 3,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.88 : 4,342.05 = 2,559.96 : x
  2. Step 2: Convert to fraction form
    2,909.88/4,342.05 = 2,559.96/x
  3. Step 3: Cross multiply
    2,909.88x = 4,342.05 × 2,559.96
  4. Step 4: Simplify right side
    2,909.88x = 11,115,474.32
  5. Step 5: Solve for x
    x = 11,115,474.32/2,909.88
  6. Step 6: Final answer
    x = 3,819.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.