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Finding the Fourth Proportional to 5,230.44, 7,838.64 and 2,762.64

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Solution

The fourth proportional to 5,230.44, 7,838.64 and 2,762.64 is: 4,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.44 : 7,838.64 = 2,762.64 : x
  2. Step 2: Convert to fraction form
    5,230.44/7,838.64 = 2,762.64/x
  3. Step 3: Cross multiply
    5,230.44x = 7,838.64 × 2,762.64
  4. Step 4: Simplify right side
    5,230.44x = 21,655,340.41
  5. Step 5: Solve for x
    x = 21,655,340.41/5,230.44
  6. Step 6: Final answer
    x = 4,140.25

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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.