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Finding the Fourth Proportional to 3,448.36, 4,757.70 and 3,115.72

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Solution

The fourth proportional to 3,448.36, 4,757.70 and 3,115.72 is: 4,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.36 : 4,757.70 = 3,115.72 : x
  2. Step 2: Convert to fraction form
    3,448.36/4,757.70 = 3,115.72/x
  3. Step 3: Cross multiply
    3,448.36x = 4,757.70 × 3,115.72
  4. Step 4: Simplify right side
    3,448.36x = 14,823,661.04
  5. Step 5: Solve for x
    x = 14,823,661.04/3,448.36
  6. Step 6: Final answer
    x = 4,298.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.