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Finding the Fourth Proportional to 4,093.42, 6,141.34 and 1,903.46

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Solution

The fourth proportional to 4,093.42, 6,141.34 and 1,903.46 is: 2,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.42 : 6,141.34 = 1,903.46 : x
  2. Step 2: Convert to fraction form
    4,093.42/6,141.34 = 1,903.46/x
  3. Step 3: Cross multiply
    4,093.42x = 6,141.34 × 1,903.46
  4. Step 4: Simplify right side
    4,093.42x = 11,689,795.04
  5. Step 5: Solve for x
    x = 11,689,795.04/4,093.42
  6. Step 6: Final answer
    x = 2,855.75

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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.