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Finding the Fourth Proportional to 5,648.99, 7,795.66 and 3,131.16

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Solution

The fourth proportional to 5,648.99, 7,795.66 and 3,131.16 is: 4,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.99 : 7,795.66 = 3,131.16 : x
  2. Step 2: Convert to fraction form
    5,648.99/7,795.66 = 3,131.16/x
  3. Step 3: Cross multiply
    5,648.99x = 7,795.66 × 3,131.16
  4. Step 4: Simplify right side
    5,648.99x = 24,409,419.79
  5. Step 5: Solve for x
    x = 24,409,419.79/5,648.99
  6. Step 6: Final answer
    x = 4,321.02

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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.