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Finding the Fourth Proportional to 5,798.26, 8,698.92 and 2,510.59

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Solution

The fourth proportional to 5,798.26, 8,698.92 and 2,510.59 is: 3,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.26 : 8,698.92 = 2,510.59 : x
  2. Step 2: Convert to fraction form
    5,798.26/8,698.92 = 2,510.59/x
  3. Step 3: Cross multiply
    5,798.26x = 8,698.92 × 2,510.59
  4. Step 4: Simplify right side
    5,798.26x = 21,839,421.56
  5. Step 5: Solve for x
    x = 21,839,421.56/5,798.26
  6. Step 6: Final answer
    x = 3,766.55

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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.