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Finding the Fourth Proportional to 4,233.53, 5,842.13 and 2,345.12

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Solution

The fourth proportional to 4,233.53, 5,842.13 and 2,345.12 is: 3,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.53 : 5,842.13 = 2,345.12 : x
  2. Step 2: Convert to fraction form
    4,233.53/5,842.13 = 2,345.12/x
  3. Step 3: Cross multiply
    4,233.53x = 5,842.13 × 2,345.12
  4. Step 4: Simplify right side
    4,233.53x = 13,700,454.97
  5. Step 5: Solve for x
    x = 13,700,454.97/4,233.53
  6. Step 6: Final answer
    x = 3,236.18

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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.