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Finding the Fourth Proportional to 5,629.42, 8,442.10 and 1,930.69

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Solution

The fourth proportional to 5,629.42, 8,442.10 and 1,930.69 is: 2,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.42 : 8,442.10 = 1,930.69 : x
  2. Step 2: Convert to fraction form
    5,629.42/8,442.10 = 1,930.69/x
  3. Step 3: Cross multiply
    5,629.42x = 8,442.10 × 1,930.69
  4. Step 4: Simplify right side
    5,629.42x = 16,299,059.36
  5. Step 5: Solve for x
    x = 16,299,059.36/5,629.42
  6. Step 6: Final answer
    x = 2,895.34

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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.