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Finding the Fourth Proportional to 4,105.69, 6,158.53 and 1,027.69

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Solution

The fourth proportional to 4,105.69, 6,158.53 and 1,027.69 is: 1,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.69 : 6,158.53 = 1,027.69 : x
  2. Step 2: Convert to fraction form
    4,105.69/6,158.53 = 1,027.69/x
  3. Step 3: Cross multiply
    4,105.69x = 6,158.53 × 1,027.69
  4. Step 4: Simplify right side
    4,105.69x = 6,329,045.58
  5. Step 5: Solve for x
    x = 6,329,045.58/4,105.69
  6. Step 6: Final answer
    x = 1,541.53

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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.