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Finding the Fourth Proportional to 4,261, 5,880.42 and 2,398.12

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Solution

The fourth proportional to 4,261, 5,880.42 and 2,398.12 is: 3,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261 : 5,880.42 = 2,398.12 : x
  2. Step 2: Convert to fraction form
    4,261/5,880.42 = 2,398.12/x
  3. Step 3: Cross multiply
    4,261x = 5,880.42 × 2,398.12
  4. Step 4: Simplify right side
    4,261x = 14,101,952.81
  5. Step 5: Solve for x
    x = 14,101,952.81/4,261
  6. Step 6: Final answer
    x = 3,309.54

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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.