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Finding the Fourth Proportional to 3,838.16, 5,754 and 1,887.68

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Solution

The fourth proportional to 3,838.16, 5,754 and 1,887.68 is: 2,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.16 : 5,754 = 1,887.68 : x
  2. Step 2: Convert to fraction form
    3,838.16/5,754 = 1,887.68/x
  3. Step 3: Cross multiply
    3,838.16x = 5,754 × 1,887.68
  4. Step 4: Simplify right side
    3,838.16x = 10,861,710.72
  5. Step 5: Solve for x
    x = 10,861,710.72/3,838.16
  6. Step 6: Final answer
    x = 2,829.93

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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.