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Finding the Fourth Proportional to 3,667.12, 5,498.16 and 1,718.08

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Solution

The fourth proportional to 3,667.12, 5,498.16 and 1,718.08 is: 2,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.12 : 5,498.16 = 1,718.08 : x
  2. Step 2: Convert to fraction form
    3,667.12/5,498.16 = 1,718.08/x
  3. Step 3: Cross multiply
    3,667.12x = 5,498.16 × 1,718.08
  4. Step 4: Simplify right side
    3,667.12x = 9,446,278.73
  5. Step 5: Solve for x
    x = 9,446,278.73/3,667.12
  6. Step 6: Final answer
    x = 2,575.94

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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.