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Finding the Fourth Proportional to 3,497.07, 4,826.12 and 2,004.87

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Solution

The fourth proportional to 3,497.07, 4,826.12 and 2,004.87 is: 2,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.07 : 4,826.12 = 2,004.87 : x
  2. Step 2: Convert to fraction form
    3,497.07/4,826.12 = 2,004.87/x
  3. Step 3: Cross multiply
    3,497.07x = 4,826.12 × 2,004.87
  4. Step 4: Simplify right side
    3,497.07x = 9,675,733.18
  5. Step 5: Solve for x
    x = 9,675,733.18/3,497.07
  6. Step 6: Final answer
    x = 2,766.81

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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.