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Finding the Fourth Proportional to 5,930.52, 8,894.40 and 2,233.12

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Solution

The fourth proportional to 5,930.52, 8,894.40 and 2,233.12 is: 3,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.52 : 8,894.40 = 2,233.12 : x
  2. Step 2: Convert to fraction form
    5,930.52/8,894.40 = 2,233.12/x
  3. Step 3: Cross multiply
    5,930.52x = 8,894.40 × 2,233.12
  4. Step 4: Simplify right side
    5,930.52x = 19,862,262.53
  5. Step 5: Solve for x
    x = 19,862,262.53/5,930.52
  6. Step 6: Final answer
    x = 3,349.16

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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.