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Finding the Fourth Proportional to 3,657.42, 5,486.85 and 3,010.86

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Solution

The fourth proportional to 3,657.42, 5,486.85 and 3,010.86 is: 4,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.42 : 5,486.85 = 3,010.86 : x
  2. Step 2: Convert to fraction form
    3,657.42/5,486.85 = 3,010.86/x
  3. Step 3: Cross multiply
    3,657.42x = 5,486.85 × 3,010.86
  4. Step 4: Simplify right side
    3,657.42x = 16,520,137.19
  5. Step 5: Solve for x
    x = 16,520,137.19/3,657.42
  6. Step 6: Final answer
    x = 4,516.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.