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Finding the Fourth Proportional to 4,756.39, 6,563.64 and 2,660.38

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Solution

The fourth proportional to 4,756.39, 6,563.64 and 2,660.38 is: 3,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.39 : 6,563.64 = 2,660.38 : x
  2. Step 2: Convert to fraction form
    4,756.39/6,563.64 = 2,660.38/x
  3. Step 3: Cross multiply
    4,756.39x = 6,563.64 × 2,660.38
  4. Step 4: Simplify right side
    4,756.39x = 17,461,776.58
  5. Step 5: Solve for x
    x = 17,461,776.58/4,756.39
  6. Step 6: Final answer
    x = 3,671.22

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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.