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Finding the Fourth Proportional to 4,756.30, 6,563.70 and 2,660.42

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Solution

The fourth proportional to 4,756.30, 6,563.70 and 2,660.42 is: 3,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.30 : 6,563.70 = 2,660.42 : x
  2. Step 2: Convert to fraction form
    4,756.30/6,563.70 = 2,660.42/x
  3. Step 3: Cross multiply
    4,756.30x = 6,563.70 × 2,660.42
  4. Step 4: Simplify right side
    4,756.30x = 17,462,198.75
  5. Step 5: Solve for x
    x = 17,462,198.75/4,756.30
  6. Step 6: Final answer
    x = 3,671.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.