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Finding the Fourth Proportional to 5,145.58, 7,717.15 and 2,024.25

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Solution

The fourth proportional to 5,145.58, 7,717.15 and 2,024.25 is: 3,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.58 : 7,717.15 = 2,024.25 : x
  2. Step 2: Convert to fraction form
    5,145.58/7,717.15 = 2,024.25/x
  3. Step 3: Cross multiply
    5,145.58x = 7,717.15 × 2,024.25
  4. Step 4: Simplify right side
    5,145.58x = 15,621,440.89
  5. Step 5: Solve for x
    x = 15,621,440.89/5,145.58
  6. Step 6: Final answer
    x = 3,035.90

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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.