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Finding the Fourth Proportional to 3,803.30, 5,248.83 and 2,125

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Solution

The fourth proportional to 3,803.30, 5,248.83 and 2,125 is: 2,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.30 : 5,248.83 = 2,125 : x
  2. Step 2: Convert to fraction form
    3,803.30/5,248.83 = 2,125/x
  3. Step 3: Cross multiply
    3,803.30x = 5,248.83 × 2,125
  4. Step 4: Simplify right side
    3,803.30x = 11,153,763.75
  5. Step 5: Solve for x
    x = 11,153,763.75/3,803.30
  6. Step 6: Final answer
    x = 2,932.65

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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.