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Finding the Fourth Proportional to 5,203.28, 7,806.40 and 2,737.52

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Solution

The fourth proportional to 5,203.28, 7,806.40 and 2,737.52 is: 4,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.28 : 7,806.40 = 2,737.52 : x
  2. Step 2: Convert to fraction form
    5,203.28/7,806.40 = 2,737.52/x
  3. Step 3: Cross multiply
    5,203.28x = 7,806.40 × 2,737.52
  4. Step 4: Simplify right side
    5,203.28x = 21,370,176.13
  5. Step 5: Solve for x
    x = 21,370,176.13/5,203.28
  6. Step 6: Final answer
    x = 4,107.06

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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.