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Finding the Fourth Proportional to 3,497.97, 4,827.06 and 2,004.81

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Solution

The fourth proportional to 3,497.97, 4,827.06 and 2,004.81 is: 2,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.97 : 4,827.06 = 2,004.81 : x
  2. Step 2: Convert to fraction form
    3,497.97/4,827.06 = 2,004.81/x
  3. Step 3: Cross multiply
    3,497.97x = 4,827.06 × 2,004.81
  4. Step 4: Simplify right side
    3,497.97x = 9,677,338.16
  5. Step 5: Solve for x
    x = 9,677,338.16/3,497.97
  6. Step 6: Final answer
    x = 2,766.56

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1.5x scale

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.