Home / 5,413-8,113.68-2,292.28

Finding the Fourth Proportional to 5,413, 8,113.68 and 2,292.28

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Solution

The fourth proportional to 5,413, 8,113.68 and 2,292.28 is: 3,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413 : 8,113.68 = 2,292.28 : x
  2. Step 2: Convert to fraction form
    5,413/8,113.68 = 2,292.28/x
  3. Step 3: Cross multiply
    5,413x = 8,113.68 × 2,292.28
  4. Step 4: Simplify right side
    5,413x = 18,598,826.39
  5. Step 5: Solve for x
    x = 18,598,826.39/5,413
  6. Step 6: Final answer
    x = 3,435.96

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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.