Home / 3,840-5,746.96-3,511.36

Finding the Fourth Proportional to 3,840, 5,746.96 and 3,511.36

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Solution

The fourth proportional to 3,840, 5,746.96 and 3,511.36 is: 5,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 5,746.96 = 3,511.36 : x
  2. Step 2: Convert to fraction form
    3,840/5,746.96 = 3,511.36/x
  3. Step 3: Cross multiply
    3,840x = 5,746.96 × 3,511.36
  4. Step 4: Simplify right side
    3,840x = 20,179,645.47
  5. Step 5: Solve for x
    x = 20,179,645.47/3,840
  6. Step 6: Final answer
    x = 5,255.12

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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.