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Finding the Fourth Proportional to 4,267.78, 5,890.65 and 2,779.78

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Solution

The fourth proportional to 4,267.78, 5,890.65 and 2,779.78 is: 3,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.78 : 5,890.65 = 2,779.78 : x
  2. Step 2: Convert to fraction form
    4,267.78/5,890.65 = 2,779.78/x
  3. Step 3: Cross multiply
    4,267.78x = 5,890.65 × 2,779.78
  4. Step 4: Simplify right side
    4,267.78x = 16,374,711.06
  5. Step 5: Solve for x
    x = 16,374,711.06/4,267.78
  6. Step 6: Final answer
    x = 3,836.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.