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Finding the Fourth Proportional to 4,268.36, 5,890.30 and 2,405.36

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Solution

The fourth proportional to 4,268.36, 5,890.30 and 2,405.36 is: 3,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.36 : 5,890.30 = 2,405.36 : x
  2. Step 2: Convert to fraction form
    4,268.36/5,890.30 = 2,405.36/x
  3. Step 3: Cross multiply
    4,268.36x = 5,890.30 × 2,405.36
  4. Step 4: Simplify right side
    4,268.36x = 14,168,292.01
  5. Step 5: Solve for x
    x = 14,168,292.01/4,268.36
  6. Step 6: Final answer
    x = 3,319.38

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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.