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Finding the Fourth Proportional to 5,770.48, 7,958.28 and 4,651

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Solution

The fourth proportional to 5,770.48, 7,958.28 and 4,651 is: 6,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.48 : 7,958.28 = 4,651 : x
  2. Step 2: Convert to fraction form
    5,770.48/7,958.28 = 4,651/x
  3. Step 3: Cross multiply
    5,770.48x = 7,958.28 × 4,651
  4. Step 4: Simplify right side
    5,770.48x = 37,013,960.28
  5. Step 5: Solve for x
    x = 37,013,960.28/5,770.48
  6. Step 6: Final answer
    x = 6,414.36

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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.