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Finding the Fourth Proportional to 3,824.80, 5,737.27 and 1,051.45

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Solution

The fourth proportional to 3,824.80, 5,737.27 and 1,051.45 is: 1,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.80 : 5,737.27 = 1,051.45 : x
  2. Step 2: Convert to fraction form
    3,824.80/5,737.27 = 1,051.45/x
  3. Step 3: Cross multiply
    3,824.80x = 5,737.27 × 1,051.45
  4. Step 4: Simplify right side
    3,824.80x = 6,032,464.26
  5. Step 5: Solve for x
    x = 6,032,464.26/3,824.80
  6. Step 6: Final answer
    x = 1,577.20

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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.