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Finding the Fourth Proportional to 3,420.99, 5,126.36 and 1,472.13

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Solution

The fourth proportional to 3,420.99, 5,126.36 and 1,472.13 is: 2,205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.99 : 5,126.36 = 1,472.13 : x
  2. Step 2: Convert to fraction form
    3,420.99/5,126.36 = 1,472.13/x
  3. Step 3: Cross multiply
    3,420.99x = 5,126.36 × 1,472.13
  4. Step 4: Simplify right side
    3,420.99x = 7,546,660.99
  5. Step 5: Solve for x
    x = 7,546,660.99/3,420.99
  6. Step 6: Final answer
    x = 2,205.99

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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.