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Finding the Fourth Proportional to 4,678.78, 7,022.58 and 3,442.42

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Solution

The fourth proportional to 4,678.78, 7,022.58 and 3,442.42 is: 5,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.78 : 7,022.58 = 3,442.42 : x
  2. Step 2: Convert to fraction form
    4,678.78/7,022.58 = 3,442.42/x
  3. Step 3: Cross multiply
    4,678.78x = 7,022.58 × 3,442.42
  4. Step 4: Simplify right side
    4,678.78x = 24,174,669.84
  5. Step 5: Solve for x
    x = 24,174,669.84/4,678.78
  6. Step 6: Final answer
    x = 5,166.87

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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.