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Finding the Fourth Proportional to 5,012.92, 6,917.76 and 2,774.74

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Solution

The fourth proportional to 5,012.92, 6,917.76 and 2,774.74 is: 3,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.92 : 6,917.76 = 2,774.74 : x
  2. Step 2: Convert to fraction form
    5,012.92/6,917.76 = 2,774.74/x
  3. Step 3: Cross multiply
    5,012.92x = 6,917.76 × 2,774.74
  4. Step 4: Simplify right side
    5,012.92x = 19,194,985.38
  5. Step 5: Solve for x
    x = 19,194,985.38/5,012.92
  6. Step 6: Final answer
    x = 3,829.10

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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.