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Finding the Fourth Proportional to 5,124, 7,686.20 and 2,200.28

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Solution

The fourth proportional to 5,124, 7,686.20 and 2,200.28 is: 3,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124 : 7,686.20 = 2,200.28 : x
  2. Step 2: Convert to fraction form
    5,124/7,686.20 = 2,200.28/x
  3. Step 3: Cross multiply
    5,124x = 7,686.20 × 2,200.28
  4. Step 4: Simplify right side
    5,124x = 16,911,792.14
  5. Step 5: Solve for x
    x = 16,911,792.14/5,124
  6. Step 6: Final answer
    x = 3,300.51

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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.