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Finding the Fourth Proportional to 3,669.72, 5,065.08 and 2,098.72

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Solution

The fourth proportional to 3,669.72, 5,065.08 and 2,098.72 is: 2,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.72 : 5,065.08 = 2,098.72 : x
  2. Step 2: Convert to fraction form
    3,669.72/5,065.08 = 2,098.72/x
  3. Step 3: Cross multiply
    3,669.72x = 5,065.08 × 2,098.72
  4. Step 4: Simplify right side
    3,669.72x = 10,630,184.70
  5. Step 5: Solve for x
    x = 10,630,184.70/3,669.72
  6. Step 6: Final answer
    x = 2,896.73

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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.