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Finding the Fourth Proportional to 4,612.56, 6,921.26 and 2,767.38

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Solution

The fourth proportional to 4,612.56, 6,921.26 and 2,767.38 is: 4,152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.56 : 6,921.26 = 2,767.38 : x
  2. Step 2: Convert to fraction form
    4,612.56/6,921.26 = 2,767.38/x
  3. Step 3: Cross multiply
    4,612.56x = 6,921.26 × 2,767.38
  4. Step 4: Simplify right side
    4,612.56x = 19,153,756.50
  5. Step 5: Solve for x
    x = 19,153,756.50/4,612.56
  6. Step 6: Final answer
    x = 4,152.52

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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.