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Finding the Fourth Proportional to 3,825.19, 5,737.79 and 1,051.90

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Solution

The fourth proportional to 3,825.19, 5,737.79 and 1,051.90 is: 1,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.19 : 5,737.79 = 1,051.90 : x
  2. Step 2: Convert to fraction form
    3,825.19/5,737.79 = 1,051.90/x
  3. Step 3: Cross multiply
    3,825.19x = 5,737.79 × 1,051.90
  4. Step 4: Simplify right side
    3,825.19x = 6,035,576.04
  5. Step 5: Solve for x
    x = 6,035,576.04/3,825.19
  6. Step 6: Final answer
    x = 1,577.85

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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.