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Finding the Fourth Proportional to 4,191.54, 6,283.63 and 1,592.74

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Solution

The fourth proportional to 4,191.54, 6,283.63 and 1,592.74 is: 2,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.54 : 6,283.63 = 1,592.74 : x
  2. Step 2: Convert to fraction form
    4,191.54/6,283.63 = 1,592.74/x
  3. Step 3: Cross multiply
    4,191.54x = 6,283.63 × 1,592.74
  4. Step 4: Simplify right side
    4,191.54x = 10,008,188.85
  5. Step 5: Solve for x
    x = 10,008,188.85/4,191.54
  6. Step 6: Final answer
    x = 2,387.71

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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.