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Finding the Fourth Proportional to 4,020.46, 6,032.74 and 1,914.47

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Solution

The fourth proportional to 4,020.46, 6,032.74 and 1,914.47 is: 2,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.46 : 6,032.74 = 1,914.47 : x
  2. Step 2: Convert to fraction form
    4,020.46/6,032.74 = 1,914.47/x
  3. Step 3: Cross multiply
    4,020.46x = 6,032.74 × 1,914.47
  4. Step 4: Simplify right side
    4,020.46x = 11,549,474.37
  5. Step 5: Solve for x
    x = 11,549,474.37/4,020.46
  6. Step 6: Final answer
    x = 2,872.68

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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.