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Finding the Fourth Proportional to 5,113.33, 7,669.12 and 1,414.69

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Solution

The fourth proportional to 5,113.33, 7,669.12 and 1,414.69 is: 2,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.33 : 7,669.12 = 1,414.69 : x
  2. Step 2: Convert to fraction form
    5,113.33/7,669.12 = 1,414.69/x
  3. Step 3: Cross multiply
    5,113.33x = 7,669.12 × 1,414.69
  4. Step 4: Simplify right side
    5,113.33x = 10,849,445.74
  5. Step 5: Solve for x
    x = 10,849,445.74/5,113.33
  6. Step 6: Final answer
    x = 2,121.80

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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.