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Finding the Fourth Proportional to 5,843.64, 8,765.49 and 1,948.04

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Solution

The fourth proportional to 5,843.64, 8,765.49 and 1,948.04 is: 2,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.64 : 8,765.49 = 1,948.04 : x
  2. Step 2: Convert to fraction form
    5,843.64/8,765.49 = 1,948.04/x
  3. Step 3: Cross multiply
    5,843.64x = 8,765.49 × 1,948.04
  4. Step 4: Simplify right side
    5,843.64x = 17,075,481.31
  5. Step 5: Solve for x
    x = 17,075,481.31/5,843.64
  6. Step 6: Final answer
    x = 2,922.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.