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Finding the Fourth Proportional to 5,638.48, 7,767.19 and 4,796.48

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Solution

The fourth proportional to 5,638.48, 7,767.19 and 4,796.48 is: 6,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.48 : 7,767.19 = 4,796.48 : x
  2. Step 2: Convert to fraction form
    5,638.48/7,767.19 = 4,796.48/x
  3. Step 3: Cross multiply
    5,638.48x = 7,767.19 × 4,796.48
  4. Step 4: Simplify right side
    5,638.48x = 37,255,196.90
  5. Step 5: Solve for x
    x = 37,255,196.90/5,638.48
  6. Step 6: Final answer
    x = 6,607.31

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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.