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Finding the Fourth Proportional to 4,507.09, 6,216.29 and 3,014.53

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Solution

The fourth proportional to 4,507.09, 6,216.29 and 3,014.53 is: 4,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.09 : 6,216.29 = 3,014.53 : x
  2. Step 2: Convert to fraction form
    4,507.09/6,216.29 = 3,014.53/x
  3. Step 3: Cross multiply
    4,507.09x = 6,216.29 × 3,014.53
  4. Step 4: Simplify right side
    4,507.09x = 18,739,173.38
  5. Step 5: Solve for x
    x = 18,739,173.38/4,507.09
  6. Step 6: Final answer
    x = 4,157.71

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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.