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Finding the Fourth Proportional to 3,442.39, 5,164.17 and 1,133.89

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Solution

The fourth proportional to 3,442.39, 5,164.17 and 1,133.89 is: 1,701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.39 : 5,164.17 = 1,133.89 : x
  2. Step 2: Convert to fraction form
    3,442.39/5,164.17 = 1,133.89/x
  3. Step 3: Cross multiply
    3,442.39x = 5,164.17 × 1,133.89
  4. Step 4: Simplify right side
    3,442.39x = 5,855,600.72
  5. Step 5: Solve for x
    x = 5,855,600.72/3,442.39
  6. Step 6: Final answer
    x = 1,701.03

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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.