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Finding the Fourth Proportional to 3,606.13, 5,410.74 and 1,141.15

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Solution

The fourth proportional to 3,606.13, 5,410.74 and 1,141.15 is: 1,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.13 : 5,410.74 = 1,141.15 : x
  2. Step 2: Convert to fraction form
    3,606.13/5,410.74 = 1,141.15/x
  3. Step 3: Cross multiply
    3,606.13x = 5,410.74 × 1,141.15
  4. Step 4: Simplify right side
    3,606.13x = 6,174,465.95
  5. Step 5: Solve for x
    x = 6,174,465.95/3,606.13
  6. Step 6: Final answer
    x = 1,712.21

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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.