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Finding the Fourth Proportional to 5,797.60, 7,986.10 and 5,372.34

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Solution

The fourth proportional to 5,797.60, 7,986.10 and 5,372.34 is: 7,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.60 : 7,986.10 = 5,372.34 : x
  2. Step 2: Convert to fraction form
    5,797.60/7,986.10 = 5,372.34/x
  3. Step 3: Cross multiply
    5,797.60x = 7,986.10 × 5,372.34
  4. Step 4: Simplify right side
    5,797.60x = 42,904,044.47
  5. Step 5: Solve for x
    x = 42,904,044.47/5,797.60
  6. Step 6: Final answer
    x = 7,400.31

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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.