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Finding the Fourth Proportional to 4,886.96, 7,327.70 and 1,599.17

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Solution

The fourth proportional to 4,886.96, 7,327.70 and 1,599.17 is: 2,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.96 : 7,327.70 = 1,599.17 : x
  2. Step 2: Convert to fraction form
    4,886.96/7,327.70 = 1,599.17/x
  3. Step 3: Cross multiply
    4,886.96x = 7,327.70 × 1,599.17
  4. Step 4: Simplify right side
    4,886.96x = 11,718,238.01
  5. Step 5: Solve for x
    x = 11,718,238.01/4,886.96
  6. Step 6: Final answer
    x = 2,397.86

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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.