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Finding the Fourth Proportional to 5,117.56, 7,674.86 and 3,242.20

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Solution

The fourth proportional to 5,117.56, 7,674.86 and 3,242.20 is: 4,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.56 : 7,674.86 = 3,242.20 : x
  2. Step 2: Convert to fraction form
    5,117.56/7,674.86 = 3,242.20/x
  3. Step 3: Cross multiply
    5,117.56x = 7,674.86 × 3,242.20
  4. Step 4: Simplify right side
    5,117.56x = 24,883,431.09
  5. Step 5: Solve for x
    x = 24,883,431.09/5,117.56
  6. Step 6: Final answer
    x = 4,862.36

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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.