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Finding the Fourth Proportional to 4,089.42, 6,129.41 and 1,893.56

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Solution

The fourth proportional to 4,089.42, 6,129.41 and 1,893.56 is: 2,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.42 : 6,129.41 = 1,893.56 : x
  2. Step 2: Convert to fraction form
    4,089.42/6,129.41 = 1,893.56/x
  3. Step 3: Cross multiply
    4,089.42x = 6,129.41 × 1,893.56
  4. Step 4: Simplify right side
    4,089.42x = 11,606,365.48
  5. Step 5: Solve for x
    x = 11,606,365.48/4,089.42
  6. Step 6: Final answer
    x = 2,838.14

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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.