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Finding the Fourth Proportional to 5,156.74, 7,116.33 and 2,798.86

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Solution

The fourth proportional to 5,156.74, 7,116.33 and 2,798.86 is: 3,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.74 : 7,116.33 = 2,798.86 : x
  2. Step 2: Convert to fraction form
    5,156.74/7,116.33 = 2,798.86/x
  3. Step 3: Cross multiply
    5,156.74x = 7,116.33 × 2,798.86
  4. Step 4: Simplify right side
    5,156.74x = 19,917,611.38
  5. Step 5: Solve for x
    x = 19,917,611.38/5,156.74
  6. Step 6: Final answer
    x = 3,862.44

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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.