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Finding the Fourth Proportional to 3,574.92, 5,360.40 and 1,233.66

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Solution

The fourth proportional to 3,574.92, 5,360.40 and 1,233.66 is: 1,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.92 : 5,360.40 = 1,233.66 : x
  2. Step 2: Convert to fraction form
    3,574.92/5,360.40 = 1,233.66/x
  3. Step 3: Cross multiply
    3,574.92x = 5,360.40 × 1,233.66
  4. Step 4: Simplify right side
    3,574.92x = 6,612,911.06
  5. Step 5: Solve for x
    x = 6,612,911.06/3,574.92
  6. Step 6: Final answer
    x = 1,849.81

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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.