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Finding the Fourth Proportional to 6,574.49, 9,858.08 and 2,189.55

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Solution

The fourth proportional to 6,574.49, 9,858.08 and 2,189.55 is: 3,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.49 : 9,858.08 = 2,189.55 : x
  2. Step 2: Convert to fraction form
    6,574.49/9,858.08 = 2,189.55/x
  3. Step 3: Cross multiply
    6,574.49x = 9,858.08 × 2,189.55
  4. Step 4: Simplify right side
    6,574.49x = 21,584,759.06
  5. Step 5: Solve for x
    x = 21,584,759.06/6,574.49
  6. Step 6: Final answer
    x = 3,283.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.