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Finding the Fourth Proportional to 3,484.59, 5,226.46 and 1,019.39

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Solution

The fourth proportional to 3,484.59, 5,226.46 and 1,019.39 is: 1,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.59 : 5,226.46 = 1,019.39 : x
  2. Step 2: Convert to fraction form
    3,484.59/5,226.46 = 1,019.39/x
  3. Step 3: Cross multiply
    3,484.59x = 5,226.46 × 1,019.39
  4. Step 4: Simplify right side
    3,484.59x = 5,327,799.87
  5. Step 5: Solve for x
    x = 5,327,799.87/3,484.59
  6. Step 6: Final answer
    x = 1,528.96

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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.