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Finding the Fourth Proportional to 4,493.48, 6,741.12 and 1,571

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Solution

The fourth proportional to 4,493.48, 6,741.12 and 1,571 is: 2,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.48 : 6,741.12 = 1,571 : x
  2. Step 2: Convert to fraction form
    4,493.48/6,741.12 = 1,571/x
  3. Step 3: Cross multiply
    4,493.48x = 6,741.12 × 1,571
  4. Step 4: Simplify right side
    4,493.48x = 10,590,299.52
  5. Step 5: Solve for x
    x = 10,590,299.52/4,493.48
  6. Step 6: Final answer
    x = 2,356.81

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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.