Home / 5,216-7,824.84-3,583.04

Finding the Fourth Proportional to 5,216, 7,824.84 and 3,583.04

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Solution

The fourth proportional to 5,216, 7,824.84 and 3,583.04 is: 5,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216 : 7,824.84 = 3,583.04 : x
  2. Step 2: Convert to fraction form
    5,216/7,824.84 = 3,583.04/x
  3. Step 3: Cross multiply
    5,216x = 7,824.84 × 3,583.04
  4. Step 4: Simplify right side
    5,216x = 28,036,714.71
  5. Step 5: Solve for x
    x = 28,036,714.71/5,216
  6. Step 6: Final answer
    x = 5,375.14

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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.