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Finding the Fourth Proportional to 6,087.34, 9,125.52 and 2,189

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Solution

The fourth proportional to 6,087.34, 9,125.52 and 2,189 is: 3,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.34 : 9,125.52 = 2,189 : x
  2. Step 2: Convert to fraction form
    6,087.34/9,125.52 = 2,189/x
  3. Step 3: Cross multiply
    6,087.34x = 9,125.52 × 2,189
  4. Step 4: Simplify right side
    6,087.34x = 19,975,763.28
  5. Step 5: Solve for x
    x = 19,975,763.28/6,087.34
  6. Step 6: Final answer
    x = 3,281.53

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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.