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Finding the Fourth Proportional to 5,172.59, 7,758.45 and 1,661.64

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Solution

The fourth proportional to 5,172.59, 7,758.45 and 1,661.64 is: 2,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.59 : 7,758.45 = 1,661.64 : x
  2. Step 2: Convert to fraction form
    5,172.59/7,758.45 = 1,661.64/x
  3. Step 3: Cross multiply
    5,172.59x = 7,758.45 × 1,661.64
  4. Step 4: Simplify right side
    5,172.59x = 12,891,750.86
  5. Step 5: Solve for x
    x = 12,891,750.86/5,172.59
  6. Step 6: Final answer
    x = 2,492.32

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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.