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Finding the Fourth Proportional to 4,756.32, 6,563.82 and 2,767.20

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Solution

The fourth proportional to 4,756.32, 6,563.82 and 2,767.20 is: 3,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.32 : 6,563.82 = 2,767.20 : x
  2. Step 2: Convert to fraction form
    4,756.32/6,563.82 = 2,767.20/x
  3. Step 3: Cross multiply
    4,756.32x = 6,563.82 × 2,767.20
  4. Step 4: Simplify right side
    4,756.32x = 18,163,402.70
  5. Step 5: Solve for x
    x = 18,163,402.70/4,756.32
  6. Step 6: Final answer
    x = 3,818.79

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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.