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Finding the Fourth Proportional to 4,268.29, 5,890.03 and 2,380.08

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Solution

The fourth proportional to 4,268.29, 5,890.03 and 2,380.08 is: 3,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.29 : 5,890.03 = 2,380.08 : x
  2. Step 2: Convert to fraction form
    4,268.29/5,890.03 = 2,380.08/x
  3. Step 3: Cross multiply
    4,268.29x = 5,890.03 × 2,380.08
  4. Step 4: Simplify right side
    4,268.29x = 14,018,742.60
  5. Step 5: Solve for x
    x = 14,018,742.60/4,268.29
  6. Step 6: Final answer
    x = 3,284.39

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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.