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Finding the Fourth Proportional to 5,156.96, 7,727.88 and 3,203.24

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Solution

The fourth proportional to 5,156.96, 7,727.88 and 3,203.24 is: 4,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.96 : 7,727.88 = 3,203.24 : x
  2. Step 2: Convert to fraction form
    5,156.96/7,727.88 = 3,203.24/x
  3. Step 3: Cross multiply
    5,156.96x = 7,727.88 × 3,203.24
  4. Step 4: Simplify right side
    5,156.96x = 24,754,254.33
  5. Step 5: Solve for x
    x = 24,754,254.33/5,156.96
  6. Step 6: Final answer
    x = 4,800.16

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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.