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Finding the Fourth Proportional to 5,648.88, 7,795.86 and 3,131.81

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Solution

The fourth proportional to 5,648.88, 7,795.86 and 3,131.81 is: 4,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.88 : 7,795.86 = 3,131.81 : x
  2. Step 2: Convert to fraction form
    5,648.88/7,795.86 = 3,131.81/x
  3. Step 3: Cross multiply
    5,648.88x = 7,795.86 × 3,131.81
  4. Step 4: Simplify right side
    5,648.88x = 24,415,113.33
  5. Step 5: Solve for x
    x = 24,415,113.33/5,648.88
  6. Step 6: Final answer
    x = 4,322.12

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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.