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Finding the Fourth Proportional to 3,484.53, 5,226.98 and 1,019.30

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Solution

The fourth proportional to 3,484.53, 5,226.98 and 1,019.30 is: 1,529.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.53 : 5,226.98 = 1,019.30 : x
  2. Step 2: Convert to fraction form
    3,484.53/5,226.98 = 1,019.30/x
  3. Step 3: Cross multiply
    3,484.53x = 5,226.98 × 1,019.30
  4. Step 4: Simplify right side
    3,484.53x = 5,327,829.48
  5. Step 5: Solve for x
    x = 5,327,829.48/3,484.53
  6. Step 6: Final answer
    x = 1,529.00

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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.