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Finding the Fourth Proportional to 4,142.03, 5,715.86 and 2,349.65

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Solution

The fourth proportional to 4,142.03, 5,715.86 and 2,349.65 is: 3,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.03 : 5,715.86 = 2,349.65 : x
  2. Step 2: Convert to fraction form
    4,142.03/5,715.86 = 2,349.65/x
  3. Step 3: Cross multiply
    4,142.03x = 5,715.86 × 2,349.65
  4. Step 4: Simplify right side
    4,142.03x = 13,430,230.12
  5. Step 5: Solve for x
    x = 13,430,230.12/4,142.03
  6. Step 6: Final answer
    x = 3,242.43

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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.