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Finding the Fourth Proportional to 3,886.93, 5,830.15 and 1,578.37

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Solution

The fourth proportional to 3,886.93, 5,830.15 and 1,578.37 is: 2,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.93 : 5,830.15 = 1,578.37 : x
  2. Step 2: Convert to fraction form
    3,886.93/5,830.15 = 1,578.37/x
  3. Step 3: Cross multiply
    3,886.93x = 5,830.15 × 1,578.37
  4. Step 4: Simplify right side
    3,886.93x = 9,202,133.86
  5. Step 5: Solve for x
    x = 9,202,133.86/3,886.93
  6. Step 6: Final answer
    x = 2,367.46

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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.