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Finding the Fourth Proportional to 5,738.31, 8,601.93 and 1,840.05

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Solution

The fourth proportional to 5,738.31, 8,601.93 and 1,840.05 is: 2,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.31 : 8,601.93 = 1,840.05 : x
  2. Step 2: Convert to fraction form
    5,738.31/8,601.93 = 1,840.05/x
  3. Step 3: Cross multiply
    5,738.31x = 8,601.93 × 1,840.05
  4. Step 4: Simplify right side
    5,738.31x = 15,827,981.30
  5. Step 5: Solve for x
    x = 15,827,981.30/5,738.31
  6. Step 6: Final answer
    x = 2,758.30

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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.