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Finding the Fourth Proportional to 3,835.96, 5,753.72 and 1,887.52

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Solution

The fourth proportional to 3,835.96, 5,753.72 and 1,887.52 is: 2,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.96 : 5,753.72 = 1,887.52 : x
  2. Step 2: Convert to fraction form
    3,835.96/5,753.72 = 1,887.52/x
  3. Step 3: Cross multiply
    3,835.96x = 5,753.72 × 1,887.52
  4. Step 4: Simplify right side
    3,835.96x = 10,860,261.57
  5. Step 5: Solve for x
    x = 10,860,261.57/3,835.96
  6. Step 6: Final answer
    x = 2,831.17

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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.