Home / 5,102.24-7,040.16-2,864.16

Finding the Fourth Proportional to 5,102.24, 7,040.16 and 2,864.16

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Solution

The fourth proportional to 5,102.24, 7,040.16 and 2,864.16 is: 3,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.24 : 7,040.16 = 2,864.16 : x
  2. Step 2: Convert to fraction form
    5,102.24/7,040.16 = 2,864.16/x
  3. Step 3: Cross multiply
    5,102.24x = 7,040.16 × 2,864.16
  4. Step 4: Simplify right side
    5,102.24x = 20,164,144.67
  5. Step 5: Solve for x
    x = 20,164,144.67/5,102.24
  6. Step 6: Final answer
    x = 3,952.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.