Home / 5,216-7,823.52-2,294.24

Finding the Fourth Proportional to 5,216, 7,823.52 and 2,294.24

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Solution

The fourth proportional to 5,216, 7,823.52 and 2,294.24 is: 3,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216 : 7,823.52 = 2,294.24 : x
  2. Step 2: Convert to fraction form
    5,216/7,823.52 = 2,294.24/x
  3. Step 3: Cross multiply
    5,216x = 7,823.52 × 2,294.24
  4. Step 4: Simplify right side
    5,216x = 17,949,032.52
  5. Step 5: Solve for x
    x = 17,949,032.52/5,216
  6. Step 6: Final answer
    x = 3,441.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.