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Finding the Fourth Proportional to 3,857.40, 5,785.80 and 2,208.76

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Solution

The fourth proportional to 3,857.40, 5,785.80 and 2,208.76 is: 3,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.40 : 5,785.80 = 2,208.76 : x
  2. Step 2: Convert to fraction form
    3,857.40/5,785.80 = 2,208.76/x
  3. Step 3: Cross multiply
    3,857.40x = 5,785.80 × 2,208.76
  4. Step 4: Simplify right side
    3,857.40x = 12,779,443.61
  5. Step 5: Solve for x
    x = 12,779,443.61/3,857.40
  6. Step 6: Final answer
    x = 3,312.97

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