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Finding the Fourth Proportional to 5,667.74, 8,498.25 and 2,158.01

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Solution

The fourth proportional to 5,667.74, 8,498.25 and 2,158.01 is: 3,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.74 : 8,498.25 = 2,158.01 : x
  2. Step 2: Convert to fraction form
    5,667.74/8,498.25 = 2,158.01/x
  3. Step 3: Cross multiply
    5,667.74x = 8,498.25 × 2,158.01
  4. Step 4: Simplify right side
    5,667.74x = 18,339,308.48
  5. Step 5: Solve for x
    x = 18,339,308.48/5,667.74
  6. Step 6: Final answer
    x = 3,235.74

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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.