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Finding the Fourth Proportional to 5,111.40, 7,662.96 and 3,159.48

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Solution

The fourth proportional to 5,111.40, 7,662.96 and 3,159.48 is: 4,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.40 : 7,662.96 = 3,159.48 : x
  2. Step 2: Convert to fraction form
    5,111.40/7,662.96 = 3,159.48/x
  3. Step 3: Cross multiply
    5,111.40x = 7,662.96 × 3,159.48
  4. Step 4: Simplify right side
    5,111.40x = 24,210,968.86
  5. Step 5: Solve for x
    x = 24,210,968.86/5,111.40
  6. Step 6: Final answer
    x = 4,736.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.