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Finding the Fourth Proportional to 5,196.79, 7,795.19 and 1,908.46

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Solution

The fourth proportional to 5,196.79, 7,795.19 and 1,908.46 is: 2,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.79 : 7,795.19 = 1,908.46 : x
  2. Step 2: Convert to fraction form
    5,196.79/7,795.19 = 1,908.46/x
  3. Step 3: Cross multiply
    5,196.79x = 7,795.19 × 1,908.46
  4. Step 4: Simplify right side
    5,196.79x = 14,876,808.31
  5. Step 5: Solve for x
    x = 14,876,808.31/5,196.79
  6. Step 6: Final answer
    x = 2,862.69

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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.