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Finding the Fourth Proportional to 3,834, 5,752.08 and 1,643.76

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Solution

The fourth proportional to 3,834, 5,752.08 and 1,643.76 is: 2,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834 : 5,752.08 = 1,643.76 : x
  2. Step 2: Convert to fraction form
    3,834/5,752.08 = 1,643.76/x
  3. Step 3: Cross multiply
    3,834x = 5,752.08 × 1,643.76
  4. Step 4: Simplify right side
    3,834x = 9,455,039.02
  5. Step 5: Solve for x
    x = 9,455,039.02/3,834
  6. Step 6: Final answer
    x = 2,466.10

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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.