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Finding the Fourth Proportional to 3,858.88, 5,324.01 and 2,366.05

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Solution

The fourth proportional to 3,858.88, 5,324.01 and 2,366.05 is: 3,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.88 : 5,324.01 = 2,366.05 : x
  2. Step 2: Convert to fraction form
    3,858.88/5,324.01 = 2,366.05/x
  3. Step 3: Cross multiply
    3,858.88x = 5,324.01 × 2,366.05
  4. Step 4: Simplify right side
    3,858.88x = 12,596,862.03
  5. Step 5: Solve for x
    x = 12,596,862.03/3,858.88
  6. Step 6: Final answer
    x = 3,264.38

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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.