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Finding the Fourth Proportional to 5,135.25, 7,702.86 and 1,239.66

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Solution

The fourth proportional to 5,135.25, 7,702.86 and 1,239.66 is: 1,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.25 : 7,702.86 = 1,239.66 : x
  2. Step 2: Convert to fraction form
    5,135.25/7,702.86 = 1,239.66/x
  3. Step 3: Cross multiply
    5,135.25x = 7,702.86 × 1,239.66
  4. Step 4: Simplify right side
    5,135.25x = 9,548,932.08
  5. Step 5: Solve for x
    x = 9,548,932.08/5,135.25
  6. Step 6: Final answer
    x = 1,859.49

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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.