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Finding the Fourth Proportional to 3,564.89, 4,921.27 and 2,371.87

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Solution

The fourth proportional to 3,564.89, 4,921.27 and 2,371.87 is: 3,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.89 : 4,921.27 = 2,371.87 : x
  2. Step 2: Convert to fraction form
    3,564.89/4,921.27 = 2,371.87/x
  3. Step 3: Cross multiply
    3,564.89x = 4,921.27 × 2,371.87
  4. Step 4: Simplify right side
    3,564.89x = 11,672,598.56
  5. Step 5: Solve for x
    x = 11,672,598.56/3,564.89
  6. Step 6: Final answer
    x = 3,274.32

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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.