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Finding the Fourth Proportional to 3,065.72, 4,588.85 and 2,197.40

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Solution

The fourth proportional to 3,065.72, 4,588.85 and 2,197.40 is: 3,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.72 : 4,588.85 = 2,197.40 : x
  2. Step 2: Convert to fraction form
    3,065.72/4,588.85 = 2,197.40/x
  3. Step 3: Cross multiply
    3,065.72x = 4,588.85 × 2,197.40
  4. Step 4: Simplify right side
    3,065.72x = 10,083,521.54
  5. Step 5: Solve for x
    x = 10,083,521.54/3,065.72
  6. Step 6: Final answer
    x = 3,289.13

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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.