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Finding the Fourth Proportional to 3,488.84, 5,233.08 and 891.62

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Solution

The fourth proportional to 3,488.84, 5,233.08 and 891.62 is: 1,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.84 : 5,233.08 = 891.62 : x
  2. Step 2: Convert to fraction form
    3,488.84/5,233.08 = 891.62/x
  3. Step 3: Cross multiply
    3,488.84x = 5,233.08 × 891.62
  4. Step 4: Simplify right side
    3,488.84x = 4,665,918.79
  5. Step 5: Solve for x
    x = 4,665,918.79/3,488.84
  6. Step 6: Final answer
    x = 1,337.38

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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.