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Finding the Fourth Proportional to 3,880.16, 5,820.60 and 1,571.84

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Solution

The fourth proportional to 3,880.16, 5,820.60 and 1,571.84 is: 2,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.16 : 5,820.60 = 1,571.84 : x
  2. Step 2: Convert to fraction form
    3,880.16/5,820.60 = 1,571.84/x
  3. Step 3: Cross multiply
    3,880.16x = 5,820.60 × 1,571.84
  4. Step 4: Simplify right side
    3,880.16x = 9,149,051.90
  5. Step 5: Solve for x
    x = 9,149,051.90/3,880.16
  6. Step 6: Final answer
    x = 2,357.91

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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.