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Finding the Fourth Proportional to 3,889.35, 5,830.52 and 1,422.45

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Solution

The fourth proportional to 3,889.35, 5,830.52 and 1,422.45 is: 2,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.35 : 5,830.52 = 1,422.45 : x
  2. Step 2: Convert to fraction form
    3,889.35/5,830.52 = 1,422.45/x
  3. Step 3: Cross multiply
    3,889.35x = 5,830.52 × 1,422.45
  4. Step 4: Simplify right side
    3,889.35x = 8,293,616.06
  5. Step 5: Solve for x
    x = 8,293,616.06/3,889.35
  6. Step 6: Final answer
    x = 2,132.39

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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.