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Finding the Fourth Proportional to 5,885.93, 8,827.92 and 1,937.24

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Solution

The fourth proportional to 5,885.93, 8,827.92 and 1,937.24 is: 2,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.93 : 8,827.92 = 1,937.24 : x
  2. Step 2: Convert to fraction form
    5,885.93/8,827.92 = 1,937.24/x
  3. Step 3: Cross multiply
    5,885.93x = 8,827.92 × 1,937.24
  4. Step 4: Simplify right side
    5,885.93x = 17,101,799.74
  5. Step 5: Solve for x
    x = 17,101,799.74/5,885.93
  6. Step 6: Final answer
    x = 2,905.54

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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.