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Finding the Fourth Proportional to 3,667.18, 5,500.78 and 2,437

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Solution

The fourth proportional to 3,667.18, 5,500.78 and 2,437 is: 3,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.18 : 5,500.78 = 2,437 : x
  2. Step 2: Convert to fraction form
    3,667.18/5,500.78 = 2,437/x
  3. Step 3: Cross multiply
    3,667.18x = 5,500.78 × 2,437
  4. Step 4: Simplify right side
    3,667.18x = 13,405,400.86
  5. Step 5: Solve for x
    x = 13,405,400.86/3,667.18
  6. Step 6: Final answer
    x = 3,655.51

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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.