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Finding the Fourth Proportional to 3,871.61, 5,342.83 and 2,103.21

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Solution

The fourth proportional to 3,871.61, 5,342.83 and 2,103.21 is: 2,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.61 : 5,342.83 = 2,103.21 : x
  2. Step 2: Convert to fraction form
    3,871.61/5,342.83 = 2,103.21/x
  3. Step 3: Cross multiply
    3,871.61x = 5,342.83 × 2,103.21
  4. Step 4: Simplify right side
    3,871.61x = 11,237,088.23
  5. Step 5: Solve for x
    x = 11,237,088.23/3,871.61
  6. Step 6: Final answer
    x = 2,902.43

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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.