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Finding the Fourth Proportional to 5,145.96, 7,720.80 and 2,024.24

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Solution

The fourth proportional to 5,145.96, 7,720.80 and 2,024.24 is: 3,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.96 : 7,720.80 = 2,024.24 : x
  2. Step 2: Convert to fraction form
    5,145.96/7,720.80 = 2,024.24/x
  3. Step 3: Cross multiply
    5,145.96x = 7,720.80 × 2,024.24
  4. Step 4: Simplify right side
    5,145.96x = 15,628,771.49
  5. Step 5: Solve for x
    x = 15,628,771.49/5,145.96
  6. Step 6: Final answer
    x = 3,037.10

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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.