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Finding the Fourth Proportional to 3,420.58, 5,126.88 and 1,571.90

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Solution

The fourth proportional to 3,420.58, 5,126.88 and 1,571.90 is: 2,356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.58 : 5,126.88 = 1,571.90 : x
  2. Step 2: Convert to fraction form
    3,420.58/5,126.88 = 1,571.90/x
  3. Step 3: Cross multiply
    3,420.58x = 5,126.88 × 1,571.90
  4. Step 4: Simplify right side
    3,420.58x = 8,058,942.67
  5. Step 5: Solve for x
    x = 8,058,942.67/3,420.58
  6. Step 6: Final answer
    x = 2,356.02

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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.