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Finding the Fourth Proportional to 5,172.28, 7,759.12 and 1,661.45

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Solution

The fourth proportional to 5,172.28, 7,759.12 and 1,661.45 is: 2,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.28 : 7,759.12 = 1,661.45 : x
  2. Step 2: Convert to fraction form
    5,172.28/7,759.12 = 1,661.45/x
  3. Step 3: Cross multiply
    5,172.28x = 7,759.12 × 1,661.45
  4. Step 4: Simplify right side
    5,172.28x = 12,891,389.92
  5. Step 5: Solve for x
    x = 12,891,389.92/5,172.28
  6. Step 6: Final answer
    x = 2,492.40

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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.