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Finding the Fourth Proportional to 5,770.01, 7,963.17 and 3,674

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Solution

The fourth proportional to 5,770.01, 7,963.17 and 3,674 is: 5,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.01 : 7,963.17 = 3,674 : x
  2. Step 2: Convert to fraction form
    5,770.01/7,963.17 = 3,674/x
  3. Step 3: Cross multiply
    5,770.01x = 7,963.17 × 3,674
  4. Step 4: Simplify right side
    5,770.01x = 29,256,686.58
  5. Step 5: Solve for x
    x = 29,256,686.58/5,770.01
  6. Step 6: Final answer
    x = 5,070.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.