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Finding the Fourth Proportional to 6,803.79, 10,205.37 and 2,854.02

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Solution

The fourth proportional to 6,803.79, 10,205.37 and 2,854.02 is: 4,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.79 : 10,205.37 = 2,854.02 : x
  2. Step 2: Convert to fraction form
    6,803.79/10,205.37 = 2,854.02/x
  3. Step 3: Cross multiply
    6,803.79x = 10,205.37 × 2,854.02
  4. Step 4: Simplify right side
    6,803.79x = 29,126,330.09
  5. Step 5: Solve for x
    x = 29,126,330.09/6,803.79
  6. Step 6: Final answer
    x = 4,280.90

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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.