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Finding the Fourth Proportional to 5,724.37, 7,903.50 and 3,838.77

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Solution

The fourth proportional to 5,724.37, 7,903.50 and 3,838.77 is: 5,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.37 : 7,903.50 = 3,838.77 : x
  2. Step 2: Convert to fraction form
    5,724.37/7,903.50 = 3,838.77/x
  3. Step 3: Cross multiply
    5,724.37x = 7,903.50 × 3,838.77
  4. Step 4: Simplify right side
    5,724.37x = 30,339,718.70
  5. Step 5: Solve for x
    x = 30,339,718.70/5,724.37
  6. Step 6: Final answer
    x = 5,300.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.