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Finding the Fourth Proportional to 4,346.55, 5,998.23 and 2,357.11

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Solution

The fourth proportional to 4,346.55, 5,998.23 and 2,357.11 is: 3,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.55 : 5,998.23 = 2,357.11 : x
  2. Step 2: Convert to fraction form
    4,346.55/5,998.23 = 2,357.11/x
  3. Step 3: Cross multiply
    4,346.55x = 5,998.23 × 2,357.11
  4. Step 4: Simplify right side
    4,346.55x = 14,138,487.92
  5. Step 5: Solve for x
    x = 14,138,487.92/4,346.55
  6. Step 6: Final answer
    x = 3,252.81

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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.