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Finding the Fourth Proportional to 6,658.49, 9,189.80 and 3,970.04

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Solution

The fourth proportional to 6,658.49, 9,189.80 and 3,970.04 is: 5,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.49 : 9,189.80 = 3,970.04 : x
  2. Step 2: Convert to fraction form
    6,658.49/9,189.80 = 3,970.04/x
  3. Step 3: Cross multiply
    6,658.49x = 9,189.80 × 3,970.04
  4. Step 4: Simplify right side
    6,658.49x = 36,483,906.49
  5. Step 5: Solve for x
    x = 36,483,906.49/6,658.49
  6. Step 6: Final answer
    x = 5,479.30

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