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Finding the Fourth Proportional to 3,525.75, 5,291.19 and 1,578.51

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Solution

The fourth proportional to 3,525.75, 5,291.19 and 1,578.51 is: 2,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.75 : 5,291.19 = 1,578.51 : x
  2. Step 2: Convert to fraction form
    3,525.75/5,291.19 = 1,578.51/x
  3. Step 3: Cross multiply
    3,525.75x = 5,291.19 × 1,578.51
  4. Step 4: Simplify right side
    3,525.75x = 8,352,196.33
  5. Step 5: Solve for x
    x = 8,352,196.33/3,525.75
  6. Step 6: Final answer
    x = 2,368.91

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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.