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Finding the Fourth Proportional to 5,742.66, 8,600.14 and 3,269.98

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Solution

The fourth proportional to 5,742.66, 8,600.14 and 3,269.98 is: 4,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.66 : 8,600.14 = 3,269.98 : x
  2. Step 2: Convert to fraction form
    5,742.66/8,600.14 = 3,269.98/x
  3. Step 3: Cross multiply
    5,742.66x = 8,600.14 × 3,269.98
  4. Step 4: Simplify right side
    5,742.66x = 28,122,285.80
  5. Step 5: Solve for x
    x = 28,122,285.80/5,742.66
  6. Step 6: Final answer
    x = 4,897.08

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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.