Home / 5,413-8,119.18-1,464.20

Finding the Fourth Proportional to 5,413, 8,119.18 and 1,464.20

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Solution

The fourth proportional to 5,413, 8,119.18 and 1,464.20 is: 2,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413 : 8,119.18 = 1,464.20 : x
  2. Step 2: Convert to fraction form
    5,413/8,119.18 = 1,464.20/x
  3. Step 3: Cross multiply
    5,413x = 8,119.18 × 1,464.20
  4. Step 4: Simplify right side
    5,413x = 11,888,103.36
  5. Step 5: Solve for x
    x = 11,888,103.36/5,413
  6. Step 6: Final answer
    x = 2,196.21

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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.