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Finding the Fourth Proportional to 5,308.47, 7,324.43 and 3,985.34

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Solution

The fourth proportional to 5,308.47, 7,324.43 and 3,985.34 is: 5,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.47 : 7,324.43 = 3,985.34 : x
  2. Step 2: Convert to fraction form
    5,308.47/7,324.43 = 3,985.34/x
  3. Step 3: Cross multiply
    5,308.47x = 7,324.43 × 3,985.34
  4. Step 4: Simplify right side
    5,308.47x = 29,190,287.31
  5. Step 5: Solve for x
    x = 29,190,287.31/5,308.47
  6. Step 6: Final answer
    x = 5,498.81

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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.