Home / 5,202.81-7,182.32-3,214.53

Finding the Fourth Proportional to 5,202.81, 7,182.32 and 3,214.53

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Solution

The fourth proportional to 5,202.81, 7,182.32 and 3,214.53 is: 4,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.81 : 7,182.32 = 3,214.53 : x
  2. Step 2: Convert to fraction form
    5,202.81/7,182.32 = 3,214.53/x
  3. Step 3: Cross multiply
    5,202.81x = 7,182.32 × 3,214.53
  4. Step 4: Simplify right side
    5,202.81x = 23,087,767.04
  5. Step 5: Solve for x
    x = 23,087,767.04/5,202.81
  6. Step 6: Final answer
    x = 4,437.56

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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.