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Finding the Fourth Proportional to 3,452.16, 5,177.37 and 986.99

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Solution

The fourth proportional to 3,452.16, 5,177.37 and 986.99 is: 1,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.16 : 5,177.37 = 986.99 : x
  2. Step 2: Convert to fraction form
    3,452.16/5,177.37 = 986.99/x
  3. Step 3: Cross multiply
    3,452.16x = 5,177.37 × 986.99
  4. Step 4: Simplify right side
    3,452.16x = 5,110,025.36
  5. Step 5: Solve for x
    x = 5,110,025.36/3,452.16
  6. Step 6: Final answer
    x = 1,480.24

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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.