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Finding the Fourth Proportional to 4,077.52, 5,627 and 2,398.99

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Solution

The fourth proportional to 4,077.52, 5,627 and 2,398.99 is: 3,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.52 : 5,627 = 2,398.99 : x
  2. Step 2: Convert to fraction form
    4,077.52/5,627 = 2,398.99/x
  3. Step 3: Cross multiply
    4,077.52x = 5,627 × 2,398.99
  4. Step 4: Simplify right side
    4,077.52x = 13,499,116.73
  5. Step 5: Solve for x
    x = 13,499,116.73/4,077.52
  6. Step 6: Final answer
    x = 3,310.62

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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.