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Finding the Fourth Proportional to 5,970.66, 8,239.40 and 3,318

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Solution

The fourth proportional to 5,970.66, 8,239.40 and 3,318 is: 4,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.66 : 8,239.40 = 3,318 : x
  2. Step 2: Convert to fraction form
    5,970.66/8,239.40 = 3,318/x
  3. Step 3: Cross multiply
    5,970.66x = 8,239.40 × 3,318
  4. Step 4: Simplify right side
    5,970.66x = 27,338,329.20
  5. Step 5: Solve for x
    x = 27,338,329.20/5,970.66
  6. Step 6: Final answer
    x = 4,578.78

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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.