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Finding the Fourth Proportional to 5,728.50, 7,903.80 and 3,459.29

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Solution

The fourth proportional to 5,728.50, 7,903.80 and 3,459.29 is: 4,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.50 : 7,903.80 = 3,459.29 : x
  2. Step 2: Convert to fraction form
    5,728.50/7,903.80 = 3,459.29/x
  3. Step 3: Cross multiply
    5,728.50x = 7,903.80 × 3,459.29
  4. Step 4: Simplify right side
    5,728.50x = 27,341,496.78
  5. Step 5: Solve for x
    x = 27,341,496.78/5,728.50
  6. Step 6: Final answer
    x = 4,772.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.