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Finding the Fourth Proportional to 5,374.01, 7,372.00 and 5,147.21

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Solution

The fourth proportional to 5,374.01, 7,372.00 and 5,147.21 is: 7,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.01 : 7,372.00 = 5,147.21 : x
  2. Step 2: Convert to fraction form
    5,374.01/7,372.00 = 5,147.21/x
  3. Step 3: Cross multiply
    5,374.01x = 7,372.00 × 5,147.21
  4. Step 4: Simplify right side
    5,374.01x = 37,945,228.03
  5. Step 5: Solve for x
    x = 37,945,228.03/5,374.01
  6. Step 6: Final answer
    x = 7,060.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.