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Finding the Fourth Proportional to 5,909.06, 8,862.50 and 1,805.06

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Solution

The fourth proportional to 5,909.06, 8,862.50 and 1,805.06 is: 2,707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.06 : 8,862.50 = 1,805.06 : x
  2. Step 2: Convert to fraction form
    5,909.06/8,862.50 = 1,805.06/x
  3. Step 3: Cross multiply
    5,909.06x = 8,862.50 × 1,805.06
  4. Step 4: Simplify right side
    5,909.06x = 15,997,344.25
  5. Step 5: Solve for x
    x = 15,997,344.25/5,909.06
  6. Step 6: Final answer
    x = 2,707.26

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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.