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Finding the Fourth Proportional to 5,203.49, 7,180.77 and 2,845.64

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Solution

The fourth proportional to 5,203.49, 7,180.77 and 2,845.64 is: 3,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.49 : 7,180.77 = 2,845.64 : x
  2. Step 2: Convert to fraction form
    5,203.49/7,180.77 = 2,845.64/x
  3. Step 3: Cross multiply
    5,203.49x = 7,180.77 × 2,845.64
  4. Step 4: Simplify right side
    5,203.49x = 20,433,886.34
  5. Step 5: Solve for x
    x = 20,433,886.34/5,203.49
  6. Step 6: Final answer
    x = 3,926.96

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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.