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Finding the Fourth Proportional to 3,847.37, 5,780.57 and 2,461.32

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Solution

The fourth proportional to 3,847.37, 5,780.57 and 2,461.32 is: 3,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.37 : 5,780.57 = 2,461.32 : x
  2. Step 2: Convert to fraction form
    3,847.37/5,780.57 = 2,461.32/x
  3. Step 3: Cross multiply
    3,847.37x = 5,780.57 × 2,461.32
  4. Step 4: Simplify right side
    3,847.37x = 14,227,820.25
  5. Step 5: Solve for x
    x = 14,227,820.25/3,847.37
  6. Step 6: Final answer
    x = 3,698.07

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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.