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Finding the Fourth Proportional to 4,584.88, 6,327.14 and 2,489

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Solution

The fourth proportional to 4,584.88, 6,327.14 and 2,489 is: 3,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.88 : 6,327.14 = 2,489 : x
  2. Step 2: Convert to fraction form
    4,584.88/6,327.14 = 2,489/x
  3. Step 3: Cross multiply
    4,584.88x = 6,327.14 × 2,489
  4. Step 4: Simplify right side
    4,584.88x = 15,748,239.02
  5. Step 5: Solve for x
    x = 15,748,239.02/4,584.88
  6. Step 6: Final answer
    x = 3,434.82

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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.