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Finding the Fourth Proportional to 5,465.70, 8,202.49 and 2,176.89

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Solution

The fourth proportional to 5,465.70, 8,202.49 and 2,176.89 is: 3,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.70 : 8,202.49 = 2,176.89 : x
  2. Step 2: Convert to fraction form
    5,465.70/8,202.49 = 2,176.89/x
  3. Step 3: Cross multiply
    5,465.70x = 8,202.49 × 2,176.89
  4. Step 4: Simplify right side
    5,465.70x = 17,855,918.46
  5. Step 5: Solve for x
    x = 17,855,918.46/5,465.70
  6. Step 6: Final answer
    x = 3,266.90

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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.