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Finding the Fourth Proportional to 3,427.86, 4,731.33 and 2,011.86

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Solution

The fourth proportional to 3,427.86, 4,731.33 and 2,011.86 is: 2,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.86 : 4,731.33 = 2,011.86 : x
  2. Step 2: Convert to fraction form
    3,427.86/4,731.33 = 2,011.86/x
  3. Step 3: Cross multiply
    3,427.86x = 4,731.33 × 2,011.86
  4. Step 4: Simplify right side
    3,427.86x = 9,518,773.57
  5. Step 5: Solve for x
    x = 9,518,773.57/3,427.86
  6. Step 6: Final answer
    x = 2,776.89

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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.