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Finding the Fourth Proportional to 5,922.17, 8,883.26 and 1,539.66

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Solution

The fourth proportional to 5,922.17, 8,883.26 and 1,539.66 is: 2,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.17 : 8,883.26 = 1,539.66 : x
  2. Step 2: Convert to fraction form
    5,922.17/8,883.26 = 1,539.66/x
  3. Step 3: Cross multiply
    5,922.17x = 8,883.26 × 1,539.66
  4. Step 4: Simplify right side
    5,922.17x = 13,677,200.09
  5. Step 5: Solve for x
    x = 13,677,200.09/5,922.17
  6. Step 6: Final answer
    x = 2,309.49

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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.