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Finding the Fourth Proportional to 4,381.88, 6,569.40 and 2,189.48

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Solution

The fourth proportional to 4,381.88, 6,569.40 and 2,189.48 is: 3,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.88 : 6,569.40 = 2,189.48 : x
  2. Step 2: Convert to fraction form
    4,381.88/6,569.40 = 2,189.48/x
  3. Step 3: Cross multiply
    4,381.88x = 6,569.40 × 2,189.48
  4. Step 4: Simplify right side
    4,381.88x = 14,383,569.91
  5. Step 5: Solve for x
    x = 14,383,569.91/4,381.88
  6. Step 6: Final answer
    x = 3,282.51

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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.