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Finding the Fourth Proportional to 3,773.47, 5,207.14 and 2,094.87

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Solution

The fourth proportional to 3,773.47, 5,207.14 and 2,094.87 is: 2,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.47 : 5,207.14 = 2,094.87 : x
  2. Step 2: Convert to fraction form
    3,773.47/5,207.14 = 2,094.87/x
  3. Step 3: Cross multiply
    3,773.47x = 5,207.14 × 2,094.87
  4. Step 4: Simplify right side
    3,773.47x = 10,908,281.37
  5. Step 5: Solve for x
    x = 10,908,281.37/3,773.47
  6. Step 6: Final answer
    x = 2,890.78

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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.