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Finding the Fourth Proportional to 3,521.81, 5,278.51 and 1,645.18

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Solution

The fourth proportional to 3,521.81, 5,278.51 and 1,645.18 is: 2,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.81 : 5,278.51 = 1,645.18 : x
  2. Step 2: Convert to fraction form
    3,521.81/5,278.51 = 1,645.18/x
  3. Step 3: Cross multiply
    3,521.81x = 5,278.51 × 1,645.18
  4. Step 4: Simplify right side
    3,521.81x = 8,684,087.94
  5. Step 5: Solve for x
    x = 8,684,087.94/3,521.81
  6. Step 6: Final answer
    x = 2,465.80

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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.