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Finding the Fourth Proportional to 5,242.37, 7,856.61 and 3,849.18

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Solution

The fourth proportional to 5,242.37, 7,856.61 and 3,849.18 is: 5,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.37 : 7,856.61 = 3,849.18 : x
  2. Step 2: Convert to fraction form
    5,242.37/7,856.61 = 3,849.18/x
  3. Step 3: Cross multiply
    5,242.37x = 7,856.61 × 3,849.18
  4. Step 4: Simplify right side
    5,242.37x = 30,241,506.08
  5. Step 5: Solve for x
    x = 30,241,506.08/5,242.37
  6. Step 6: Final answer
    x = 5,768.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.