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Finding the Fourth Proportional to 3,777.56, 5,213 and 2,098.96

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Solution

The fourth proportional to 3,777.56, 5,213 and 2,098.96 is: 2,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.56 : 5,213 = 2,098.96 : x
  2. Step 2: Convert to fraction form
    3,777.56/5,213 = 2,098.96/x
  3. Step 3: Cross multiply
    3,777.56x = 5,213 × 2,098.96
  4. Step 4: Simplify right side
    3,777.56x = 10,941,852.42
  5. Step 5: Solve for x
    x = 10,941,852.42/3,777.56
  6. Step 6: Final answer
    x = 2,896.54

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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.