Home / 5,826-8,040.20-3,342.16

Finding the Fourth Proportional to 5,826, 8,040.20 and 3,342.16

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Solution

The fourth proportional to 5,826, 8,040.20 and 3,342.16 is: 4,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826 : 8,040.20 = 3,342.16 : x
  2. Step 2: Convert to fraction form
    5,826/8,040.20 = 3,342.16/x
  3. Step 3: Cross multiply
    5,826x = 8,040.20 × 3,342.16
  4. Step 4: Simplify right side
    5,826x = 26,871,634.83
  5. Step 5: Solve for x
    x = 26,871,634.83/5,826
  6. Step 6: Final answer
    x = 4,612.36

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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.