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Finding the Fourth Proportional to 3,594.71, 5,390.24 and 1,645.25

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Solution

The fourth proportional to 3,594.71, 5,390.24 and 1,645.25 is: 2,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.71 : 5,390.24 = 1,645.25 : x
  2. Step 2: Convert to fraction form
    3,594.71/5,390.24 = 1,645.25/x
  3. Step 3: Cross multiply
    3,594.71x = 5,390.24 × 1,645.25
  4. Step 4: Simplify right side
    3,594.71x = 8,868,266.44
  5. Step 5: Solve for x
    x = 8,868,266.44/3,594.71
  6. Step 6: Final answer
    x = 2,467.03

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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.