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Finding the Fourth Proportional to 4,186.68, 6,281.21 and 3,404.76

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Solution

The fourth proportional to 4,186.68, 6,281.21 and 3,404.76 is: 5,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.68 : 6,281.21 = 3,404.76 : x
  2. Step 2: Convert to fraction form
    4,186.68/6,281.21 = 3,404.76/x
  3. Step 3: Cross multiply
    4,186.68x = 6,281.21 × 3,404.76
  4. Step 4: Simplify right side
    4,186.68x = 21,385,995.54
  5. Step 5: Solve for x
    x = 21,385,995.54/4,186.68
  6. Step 6: Final answer
    x = 5,108.10

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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.