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Finding the Fourth Proportional to 5,267.66, 7,898.42 and 1,981.01

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Solution

The fourth proportional to 5,267.66, 7,898.42 and 1,981.01 is: 2,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.66 : 7,898.42 = 1,981.01 : x
  2. Step 2: Convert to fraction form
    5,267.66/7,898.42 = 1,981.01/x
  3. Step 3: Cross multiply
    5,267.66x = 7,898.42 × 1,981.01
  4. Step 4: Simplify right side
    5,267.66x = 15,646,858.85
  5. Step 5: Solve for x
    x = 15,646,858.85/5,267.66
  6. Step 6: Final answer
    x = 2,970.36

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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.