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Finding the Fourth Proportional to 3,824.94, 5,737.34 and 1,051.60

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Solution

The fourth proportional to 3,824.94, 5,737.34 and 1,051.60 is: 1,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.94 : 5,737.34 = 1,051.60 : x
  2. Step 2: Convert to fraction form
    3,824.94/5,737.34 = 1,051.60/x
  3. Step 3: Cross multiply
    3,824.94x = 5,737.34 × 1,051.60
  4. Step 4: Simplify right side
    3,824.94x = 6,033,367.14
  5. Step 5: Solve for x
    x = 6,033,367.14/3,824.94
  6. Step 6: Final answer
    x = 1,577.38

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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.