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Finding the Fourth Proportional to 4,509.60, 6,767.89 and 2,949.18

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Solution

The fourth proportional to 4,509.60, 6,767.89 and 2,949.18 is: 4,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.60 : 6,767.89 = 2,949.18 : x
  2. Step 2: Convert to fraction form
    4,509.60/6,767.89 = 2,949.18/x
  3. Step 3: Cross multiply
    4,509.60x = 6,767.89 × 2,949.18
  4. Step 4: Simplify right side
    4,509.60x = 19,959,725.83
  5. Step 5: Solve for x
    x = 19,959,725.83/4,509.60
  6. Step 6: Final answer
    x = 4,426.05

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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.