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Finding the Fourth Proportional to 3,846.86, 5,307.81 and 2,354.66

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Solution

The fourth proportional to 3,846.86, 5,307.81 and 2,354.66 is: 3,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.86 : 5,307.81 = 2,354.66 : x
  2. Step 2: Convert to fraction form
    3,846.86/5,307.81 = 2,354.66/x
  3. Step 3: Cross multiply
    3,846.86x = 5,307.81 × 2,354.66
  4. Step 4: Simplify right side
    3,846.86x = 12,498,087.89
  5. Step 5: Solve for x
    x = 12,498,087.89/3,846.86
  6. Step 6: Final answer
    x = 3,248.91

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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.