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Finding the Fourth Proportional to 3,462.50, 4,776.46 and 2,343.86

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Solution

The fourth proportional to 3,462.50, 4,776.46 and 2,343.86 is: 3,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.50 : 4,776.46 = 2,343.86 : x
  2. Step 2: Convert to fraction form
    3,462.50/4,776.46 = 2,343.86/x
  3. Step 3: Cross multiply
    3,462.50x = 4,776.46 × 2,343.86
  4. Step 4: Simplify right side
    3,462.50x = 11,195,353.54
  5. Step 5: Solve for x
    x = 11,195,353.54/3,462.50
  6. Step 6: Final answer
    x = 3,233.32

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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.