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Finding the Fourth Proportional to 3,468.89, 5,202.70 and 1,003.10

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Solution

The fourth proportional to 3,468.89, 5,202.70 and 1,003.10 is: 1,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.89 : 5,202.70 = 1,003.10 : x
  2. Step 2: Convert to fraction form
    3,468.89/5,202.70 = 1,003.10/x
  3. Step 3: Cross multiply
    3,468.89x = 5,202.70 × 1,003.10
  4. Step 4: Simplify right side
    3,468.89x = 5,218,828.37
  5. Step 5: Solve for x
    x = 5,218,828.37/3,468.89
  6. Step 6: Final answer
    x = 1,504.47

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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.