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Finding the Fourth Proportional to 4,756.44, 6,563.90 and 2,660.57

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Solution

The fourth proportional to 4,756.44, 6,563.90 and 2,660.57 is: 3,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.44 : 6,563.90 = 2,660.57 : x
  2. Step 2: Convert to fraction form
    4,756.44/6,563.90 = 2,660.57/x
  3. Step 3: Cross multiply
    4,756.44x = 6,563.90 × 2,660.57
  4. Step 4: Simplify right side
    4,756.44x = 17,463,715.42
  5. Step 5: Solve for x
    x = 17,463,715.42/4,756.44
  6. Step 6: Final answer
    x = 3,671.59

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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.