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Finding the Fourth Proportional to 4,233.50, 5,842.22 and 2,345.08

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Solution

The fourth proportional to 4,233.50, 5,842.22 and 2,345.08 is: 3,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.50 : 5,842.22 = 2,345.08 : x
  2. Step 2: Convert to fraction form
    4,233.50/5,842.22 = 2,345.08/x
  3. Step 3: Cross multiply
    4,233.50x = 5,842.22 × 2,345.08
  4. Step 4: Simplify right side
    4,233.50x = 13,700,498.12
  5. Step 5: Solve for x
    x = 13,700,498.12/4,233.50
  6. Step 6: Final answer
    x = 3,236.21

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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.