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Finding the Fourth Proportional to 4,043.84, 5,578.07 and 2,449.35

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Solution

The fourth proportional to 4,043.84, 5,578.07 and 2,449.35 is: 3,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,043.84 : 5,578.07 = 2,449.35 : x
  2. Step 2: Convert to fraction form
    4,043.84/5,578.07 = 2,449.35/x
  3. Step 3: Cross multiply
    4,043.84x = 5,578.07 × 2,449.35
  4. Step 4: Simplify right side
    4,043.84x = 13,662,633.51
  5. Step 5: Solve for x
    x = 13,662,633.51/4,043.84
  6. Step 6: Final answer
    x = 3,378.63

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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.