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Finding the Fourth Proportional to 5,798.25, 8,698.86 and 1,902.69

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Solution

The fourth proportional to 5,798.25, 8,698.86 and 1,902.69 is: 2,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.25 : 8,698.86 = 1,902.69 : x
  2. Step 2: Convert to fraction form
    5,798.25/8,698.86 = 1,902.69/x
  3. Step 3: Cross multiply
    5,798.25x = 8,698.86 × 1,902.69
  4. Step 4: Simplify right side
    5,798.25x = 16,551,233.93
  5. Step 5: Solve for x
    x = 16,551,233.93/5,798.25
  6. Step 6: Final answer
    x = 2,854.52

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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.