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Finding the Fourth Proportional to 5,981.96, 8,956.14 and 3,053.96

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Solution

The fourth proportional to 5,981.96, 8,956.14 and 3,053.96 is: 4,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.96 : 8,956.14 = 3,053.96 : x
  2. Step 2: Convert to fraction form
    5,981.96/8,956.14 = 3,053.96/x
  3. Step 3: Cross multiply
    5,981.96x = 8,956.14 × 3,053.96
  4. Step 4: Simplify right side
    5,981.96x = 27,351,693.31
  5. Step 5: Solve for x
    x = 27,351,693.31/5,981.96
  6. Step 6: Final answer
    x = 4,572.36

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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.