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Finding the Fourth Proportional to 5,172.18, 7,758.41 and 1,887.72

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Solution

The fourth proportional to 5,172.18, 7,758.41 and 1,887.72 is: 2,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.18 : 7,758.41 = 1,887.72 : x
  2. Step 2: Convert to fraction form
    5,172.18/7,758.41 = 1,887.72/x
  3. Step 3: Cross multiply
    5,172.18x = 7,758.41 × 1,887.72
  4. Step 4: Simplify right side
    5,172.18x = 14,645,705.73
  5. Step 5: Solve for x
    x = 14,645,705.73/5,172.18
  6. Step 6: Final answer
    x = 2,831.63

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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.