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Finding the Fourth Proportional to 4,238.57, 5,849.00 and 2,350.05

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Solution

The fourth proportional to 4,238.57, 5,849.00 and 2,350.05 is: 3,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.57 : 5,849.00 = 2,350.05 : x
  2. Step 2: Convert to fraction form
    4,238.57/5,849.00 = 2,350.05/x
  3. Step 3: Cross multiply
    4,238.57x = 5,849.00 × 2,350.05
  4. Step 4: Simplify right side
    4,238.57x = 13,745,411.70
  5. Step 5: Solve for x
    x = 13,745,411.70/4,238.57
  6. Step 6: Final answer
    x = 3,242.93

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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.