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Finding the Fourth Proportional to 4,517, 6,232.64 and 2,527.58

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Solution

The fourth proportional to 4,517, 6,232.64 and 2,527.58 is: 3,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517 : 6,232.64 = 2,527.58 : x
  2. Step 2: Convert to fraction form
    4,517/6,232.64 = 2,527.58/x
  3. Step 3: Cross multiply
    4,517x = 6,232.64 × 2,527.58
  4. Step 4: Simplify right side
    4,517x = 15,753,496.21
  5. Step 5: Solve for x
    x = 15,753,496.21/4,517
  6. Step 6: Final answer
    x = 3,487.60

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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.