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Finding the Fourth Proportional to 5,327.36, 7,988.16 and 1,862

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Solution

The fourth proportional to 5,327.36, 7,988.16 and 1,862 is: 2,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.36 : 7,988.16 = 1,862 : x
  2. Step 2: Convert to fraction form
    5,327.36/7,988.16 = 1,862/x
  3. Step 3: Cross multiply
    5,327.36x = 7,988.16 × 1,862
  4. Step 4: Simplify right side
    5,327.36x = 14,873,953.92
  5. Step 5: Solve for x
    x = 14,873,953.92/5,327.36
  6. Step 6: Final answer
    x = 2,791.99

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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.