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Finding the Fourth Proportional to 4,057.39, 6,082.43 and 1,458.50

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Solution

The fourth proportional to 4,057.39, 6,082.43 and 1,458.50 is: 2,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.39 : 6,082.43 = 1,458.50 : x
  2. Step 2: Convert to fraction form
    4,057.39/6,082.43 = 1,458.50/x
  3. Step 3: Cross multiply
    4,057.39x = 6,082.43 × 1,458.50
  4. Step 4: Simplify right side
    4,057.39x = 8,871,224.16
  5. Step 5: Solve for x
    x = 8,871,224.16/4,057.39
  6. Step 6: Final answer
    x = 2,186.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.