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Finding the Fourth Proportional to 4,855.95, 6,709.64 and 3,981.15

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Solution

The fourth proportional to 4,855.95, 6,709.64 and 3,981.15 is: 5,500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.95 : 6,709.64 = 3,981.15 : x
  2. Step 2: Convert to fraction form
    4,855.95/6,709.64 = 3,981.15/x
  3. Step 3: Cross multiply
    4,855.95x = 6,709.64 × 3,981.15
  4. Step 4: Simplify right side
    4,855.95x = 26,712,063.38
  5. Step 5: Solve for x
    x = 26,712,063.38/4,855.95
  6. Step 6: Final answer
    x = 5,500.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.