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Finding the Fourth Proportional to 5,650.86, 7,798.14 and 3,259.95

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Solution

The fourth proportional to 5,650.86, 7,798.14 and 3,259.95 is: 4,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.86 : 7,798.14 = 3,259.95 : x
  2. Step 2: Convert to fraction form
    5,650.86/7,798.14 = 3,259.95/x
  3. Step 3: Cross multiply
    5,650.86x = 7,798.14 × 3,259.95
  4. Step 4: Simplify right side
    5,650.86x = 25,421,546.49
  5. Step 5: Solve for x
    x = 25,421,546.49/5,650.86
  6. Step 6: Final answer
    x = 4,498.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.