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Finding the Fourth Proportional to 8,702.44, 13,054.86 and 2,859.64

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Solution

The fourth proportional to 8,702.44, 13,054.86 and 2,859.64 is: 4,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.44 : 13,054.86 = 2,859.64 : x
  2. Step 2: Convert to fraction form
    8,702.44/13,054.86 = 2,859.64/x
  3. Step 3: Cross multiply
    8,702.44x = 13,054.86 × 2,859.64
  4. Step 4: Simplify right side
    8,702.44x = 37,332,199.85
  5. Step 5: Solve for x
    x = 37,332,199.85/8,702.44
  6. Step 6: Final answer
    x = 4,289.85

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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.