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Finding the Fourth Proportional to 3,223.76, 4,838.08 and 2,127.76

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Solution

The fourth proportional to 3,223.76, 4,838.08 and 2,127.76 is: 3,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.76 : 4,838.08 = 2,127.76 : x
  2. Step 2: Convert to fraction form
    3,223.76/4,838.08 = 2,127.76/x
  3. Step 3: Cross multiply
    3,223.76x = 4,838.08 × 2,127.76
  4. Step 4: Simplify right side
    3,223.76x = 10,294,273.10
  5. Step 5: Solve for x
    x = 10,294,273.10/3,223.76
  6. Step 6: Final answer
    x = 3,193.25

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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.