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Finding the Fourth Proportional to 3,670.71, 5,066.46 and 2,099.73

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Solution

The fourth proportional to 3,670.71, 5,066.46 and 2,099.73 is: 2,898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.71 : 5,066.46 = 2,099.73 : x
  2. Step 2: Convert to fraction form
    3,670.71/5,066.46 = 2,099.73/x
  3. Step 3: Cross multiply
    3,670.71x = 5,066.46 × 2,099.73
  4. Step 4: Simplify right side
    3,670.71x = 10,638,198.06
  5. Step 5: Solve for x
    x = 10,638,198.06/3,670.71
  6. Step 6: Final answer
    x = 2,898.13

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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.