Home / 5,222.63-7,834.26-2,102.64

Finding the Fourth Proportional to 5,222.63, 7,834.26 and 2,102.64

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Solution

The fourth proportional to 5,222.63, 7,834.26 and 2,102.64 is: 3,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.63 : 7,834.26 = 2,102.64 : x
  2. Step 2: Convert to fraction form
    5,222.63/7,834.26 = 2,102.64/x
  3. Step 3: Cross multiply
    5,222.63x = 7,834.26 × 2,102.64
  4. Step 4: Simplify right side
    5,222.63x = 16,472,606.95
  5. Step 5: Solve for x
    x = 16,472,606.95/5,222.63
  6. Step 6: Final answer
    x = 3,154.08

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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.