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Finding the Fourth Proportional to 3,665.05, 5,497.58 and 891.72

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Solution

The fourth proportional to 3,665.05, 5,497.58 and 891.72 is: 1,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.05 : 5,497.58 = 891.72 : x
  2. Step 2: Convert to fraction form
    3,665.05/5,497.58 = 891.72/x
  3. Step 3: Cross multiply
    3,665.05x = 5,497.58 × 891.72
  4. Step 4: Simplify right side
    3,665.05x = 4,902,302.04
  5. Step 5: Solve for x
    x = 4,902,302.04/3,665.05
  6. Step 6: Final answer
    x = 1,337.58

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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.