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Finding the Fourth Proportional to 3,846.79, 5,306.91 and 2,429.50

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Solution

The fourth proportional to 3,846.79, 5,306.91 and 2,429.50 is: 3,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.79 : 5,306.91 = 2,429.50 : x
  2. Step 2: Convert to fraction form
    3,846.79/5,306.91 = 2,429.50/x
  3. Step 3: Cross multiply
    3,846.79x = 5,306.91 × 2,429.50
  4. Step 4: Simplify right side
    3,846.79x = 12,893,111.31
  5. Step 5: Solve for x
    x = 12,893,111.31/3,846.79
  6. Step 6: Final answer
    x = 3,351.65

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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.