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Finding the Fourth Proportional to 5,656.96, 7,805.76 and 3,172.48

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Solution

The fourth proportional to 5,656.96, 7,805.76 and 3,172.48 is: 4,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.96 : 7,805.76 = 3,172.48 : x
  2. Step 2: Convert to fraction form
    5,656.96/7,805.76 = 3,172.48/x
  3. Step 3: Cross multiply
    5,656.96x = 7,805.76 × 3,172.48
  4. Step 4: Simplify right side
    5,656.96x = 24,763,617.48
  5. Step 5: Solve for x
    x = 24,763,617.48/5,656.96
  6. Step 6: Final answer
    x = 4,377.55

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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.