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Finding the Fourth Proportional to 5,795.34, 7,989.73 and 4,531.47

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Solution

The fourth proportional to 5,795.34, 7,989.73 and 4,531.47 is: 6,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.34 : 7,989.73 = 4,531.47 : x
  2. Step 2: Convert to fraction form
    5,795.34/7,989.73 = 4,531.47/x
  3. Step 3: Cross multiply
    5,795.34x = 7,989.73 × 4,531.47
  4. Step 4: Simplify right side
    5,795.34x = 36,205,221.80
  5. Step 5: Solve for x
    x = 36,205,221.80/5,795.34
  6. Step 6: Final answer
    x = 6,247.30

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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.