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Finding the Fourth Proportional to 3,885.57, 5,827.41 and 1,937.32

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Solution

The fourth proportional to 3,885.57, 5,827.41 and 1,937.32 is: 2,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.57 : 5,827.41 = 1,937.32 : x
  2. Step 2: Convert to fraction form
    3,885.57/5,827.41 = 1,937.32/x
  3. Step 3: Cross multiply
    3,885.57x = 5,827.41 × 1,937.32
  4. Step 4: Simplify right side
    3,885.57x = 11,289,543.37
  5. Step 5: Solve for x
    x = 11,289,543.37/3,885.57
  6. Step 6: Final answer
    x = 2,905.51

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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.