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Finding the Fourth Proportional to 3,924.55, 5,886.74 and 1,584.49

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Solution

The fourth proportional to 3,924.55, 5,886.74 and 1,584.49 is: 2,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.55 : 5,886.74 = 1,584.49 : x
  2. Step 2: Convert to fraction form
    3,924.55/5,886.74 = 1,584.49/x
  3. Step 3: Cross multiply
    3,924.55x = 5,886.74 × 1,584.49
  4. Step 4: Simplify right side
    3,924.55x = 9,327,480.66
  5. Step 5: Solve for x
    x = 9,327,480.66/3,924.55
  6. Step 6: Final answer
    x = 2,376.70

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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.