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Finding the Fourth Proportional to 3,481.76, 5,220.72 and 2,386.40

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Solution

The fourth proportional to 3,481.76, 5,220.72 and 2,386.40 is: 3,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.76 : 5,220.72 = 2,386.40 : x
  2. Step 2: Convert to fraction form
    3,481.76/5,220.72 = 2,386.40/x
  3. Step 3: Cross multiply
    3,481.76x = 5,220.72 × 2,386.40
  4. Step 4: Simplify right side
    3,481.76x = 12,458,726.21
  5. Step 5: Solve for x
    x = 12,458,726.21/3,481.76
  6. Step 6: Final answer
    x = 3,578.28

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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.