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Finding the Fourth Proportional to 3,830.73, 5,741.13 and 1,607.04

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Solution

The fourth proportional to 3,830.73, 5,741.13 and 1,607.04 is: 2,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.73 : 5,741.13 = 1,607.04 : x
  2. Step 2: Convert to fraction form
    3,830.73/5,741.13 = 1,607.04/x
  3. Step 3: Cross multiply
    3,830.73x = 5,741.13 × 1,607.04
  4. Step 4: Simplify right side
    3,830.73x = 9,226,225.56
  5. Step 5: Solve for x
    x = 9,226,225.56/3,830.73
  6. Step 6: Final answer
    x = 2,408.48

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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.