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Finding the Fourth Proportional to 4,230.68, 5,838.11 and 2,342.16

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Solution

The fourth proportional to 4,230.68, 5,838.11 and 2,342.16 is: 3,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.68 : 5,838.11 = 2,342.16 : x
  2. Step 2: Convert to fraction form
    4,230.68/5,838.11 = 2,342.16/x
  3. Step 3: Cross multiply
    4,230.68x = 5,838.11 × 2,342.16
  4. Step 4: Simplify right side
    4,230.68x = 13,673,776.01
  5. Step 5: Solve for x
    x = 13,673,776.01/4,230.68
  6. Step 6: Final answer
    x = 3,232.06

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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.