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Finding the Fourth Proportional to 4,905.41, 7,358.11 and 1,442.39

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Solution

The fourth proportional to 4,905.41, 7,358.11 and 1,442.39 is: 2,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.41 : 7,358.11 = 1,442.39 : x
  2. Step 2: Convert to fraction form
    4,905.41/7,358.11 = 1,442.39/x
  3. Step 3: Cross multiply
    4,905.41x = 7,358.11 × 1,442.39
  4. Step 4: Simplify right side
    4,905.41x = 10,613,223.89
  5. Step 5: Solve for x
    x = 10,613,223.89/4,905.41
  6. Step 6: Final answer
    x = 2,163.58

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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.