Home / 5,787-7,981.44-3,742.20

Finding the Fourth Proportional to 5,787, 7,981.44 and 3,742.20

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Solution

The fourth proportional to 5,787, 7,981.44 and 3,742.20 is: 5,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787 : 7,981.44 = 3,742.20 : x
  2. Step 2: Convert to fraction form
    5,787/7,981.44 = 3,742.20/x
  3. Step 3: Cross multiply
    5,787x = 7,981.44 × 3,742.20
  4. Step 4: Simplify right side
    5,787x = 29,868,144.77
  5. Step 5: Solve for x
    x = 29,868,144.77/5,787
  6. Step 6: Final answer
    x = 5,161.25

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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.