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Finding the Fourth Proportional to 3,578.74, 4,934.06 and 2,317.56

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Solution

The fourth proportional to 3,578.74, 4,934.06 and 2,317.56 is: 3,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.74 : 4,934.06 = 2,317.56 : x
  2. Step 2: Convert to fraction form
    3,578.74/4,934.06 = 2,317.56/x
  3. Step 3: Cross multiply
    3,578.74x = 4,934.06 × 2,317.56
  4. Step 4: Simplify right side
    3,578.74x = 11,434,980.09
  5. Step 5: Solve for x
    x = 11,434,980.09/3,578.74
  6. Step 6: Final answer
    x = 3,195.25

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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.