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Finding the Fourth Proportional to 5,956.84, 8,946.20 and 5,218.73

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Solution

The fourth proportional to 5,956.84, 8,946.20 and 5,218.73 is: 7,837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.84 : 8,946.20 = 5,218.73 : x
  2. Step 2: Convert to fraction form
    5,956.84/8,946.20 = 5,218.73/x
  3. Step 3: Cross multiply
    5,956.84x = 8,946.20 × 5,218.73
  4. Step 4: Simplify right side
    5,956.84x = 46,687,774.83
  5. Step 5: Solve for x
    x = 46,687,774.83/5,956.84
  6. Step 6: Final answer
    x = 7,837.67

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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.