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Finding the Fourth Proportional to 3,360.34, 5,039.24 and 1,019.66

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Solution

The fourth proportional to 3,360.34, 5,039.24 and 1,019.66 is: 1,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,360.34 : 5,039.24 = 1,019.66 : x
  2. Step 2: Convert to fraction form
    3,360.34/5,039.24 = 1,019.66/x
  3. Step 3: Cross multiply
    3,360.34x = 5,039.24 × 1,019.66
  4. Step 4: Simplify right side
    3,360.34x = 5,138,288.81
  5. Step 5: Solve for x
    x = 5,138,288.81/3,360.34
  6. Step 6: Final answer
    x = 1,529.10

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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.