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Finding the Fourth Proportional to 3,842.89, 5,303.58 and 2,351.80

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Solution

The fourth proportional to 3,842.89, 5,303.58 and 2,351.80 is: 3,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.89 : 5,303.58 = 2,351.80 : x
  2. Step 2: Convert to fraction form
    3,842.89/5,303.58 = 2,351.80/x
  3. Step 3: Cross multiply
    3,842.89x = 5,303.58 × 2,351.80
  4. Step 4: Simplify right side
    3,842.89x = 12,472,932.93
  5. Step 5: Solve for x
    x = 12,472,932.93/3,842.89
  6. Step 6: Final answer
    x = 3,245.72

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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.