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Finding the Fourth Proportional to 3,283.97, 4,532.10 and 2,486.01

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Solution

The fourth proportional to 3,283.97, 4,532.10 and 2,486.01 is: 3,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.97 : 4,532.10 = 2,486.01 : x
  2. Step 2: Convert to fraction form
    3,283.97/4,532.10 = 2,486.01/x
  3. Step 3: Cross multiply
    3,283.97x = 4,532.10 × 2,486.01
  4. Step 4: Simplify right side
    3,283.97x = 11,266,845.92
  5. Step 5: Solve for x
    x = 11,266,845.92/3,283.97
  6. Step 6: Final answer
    x = 3,430.87

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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.