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Finding the Fourth Proportional to 3,901.52, 5,875.18 and 2,813.42

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Solution

The fourth proportional to 3,901.52, 5,875.18 and 2,813.42 is: 4,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.52 : 5,875.18 = 2,813.42 : x
  2. Step 2: Convert to fraction form
    3,901.52/5,875.18 = 2,813.42/x
  3. Step 3: Cross multiply
    3,901.52x = 5,875.18 × 2,813.42
  4. Step 4: Simplify right side
    3,901.52x = 16,529,348.92
  5. Step 5: Solve for x
    x = 16,529,348.92/3,901.52
  6. Step 6: Final answer
    x = 4,236.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.