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Finding the Fourth Proportional to 4,693.77, 7,040.12 and 1,231.29

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Solution

The fourth proportional to 4,693.77, 7,040.12 and 1,231.29 is: 1,846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.77 : 7,040.12 = 1,231.29 : x
  2. Step 2: Convert to fraction form
    4,693.77/7,040.12 = 1,231.29/x
  3. Step 3: Cross multiply
    4,693.77x = 7,040.12 × 1,231.29
  4. Step 4: Simplify right side
    4,693.77x = 8,668,423.20
  5. Step 5: Solve for x
    x = 8,668,423.20/4,693.77
  6. Step 6: Final answer
    x = 1,846.79

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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.