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Finding the Fourth Proportional to 4,286.86, 5,916.42 and 2,398.55

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Solution

The fourth proportional to 4,286.86, 5,916.42 and 2,398.55 is: 3,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.86 : 5,916.42 = 2,398.55 : x
  2. Step 2: Convert to fraction form
    4,286.86/5,916.42 = 2,398.55/x
  3. Step 3: Cross multiply
    4,286.86x = 5,916.42 × 2,398.55
  4. Step 4: Simplify right side
    4,286.86x = 14,190,829.19
  5. Step 5: Solve for x
    x = 14,190,829.19/4,286.86
  6. Step 6: Final answer
    x = 3,310.31

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1.5x scale

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.