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Finding the Fourth Proportional to 5,083.68, 7,632 and 4,267.20

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Solution

The fourth proportional to 5,083.68, 7,632 and 4,267.20 is: 6,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.68 : 7,632 = 4,267.20 : x
  2. Step 2: Convert to fraction form
    5,083.68/7,632 = 4,267.20/x
  3. Step 3: Cross multiply
    5,083.68x = 7,632 × 4,267.20
  4. Step 4: Simplify right side
    5,083.68x = 32,567,270.40
  5. Step 5: Solve for x
    x = 32,567,270.40/5,083.68
  6. Step 6: Final answer
    x = 6,406.24

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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.