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Finding the Fourth Proportional to 3,494.48, 4,824.38 and 2,317.15

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Solution

The fourth proportional to 3,494.48, 4,824.38 and 2,317.15 is: 3,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.48 : 4,824.38 = 2,317.15 : x
  2. Step 2: Convert to fraction form
    3,494.48/4,824.38 = 2,317.15/x
  3. Step 3: Cross multiply
    3,494.48x = 4,824.38 × 2,317.15
  4. Step 4: Simplify right side
    3,494.48x = 11,178,812.12
  5. Step 5: Solve for x
    x = 11,178,812.12/3,494.48
  6. Step 6: Final answer
    x = 3,198.99

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Why These Related Problems?

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