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Finding the Fourth Proportional to 4,856.86, 6,702.42 and 2,760.99

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Solution

The fourth proportional to 4,856.86, 6,702.42 and 2,760.99 is: 3,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.86 : 6,702.42 = 2,760.99 : x
  2. Step 2: Convert to fraction form
    4,856.86/6,702.42 = 2,760.99/x
  3. Step 3: Cross multiply
    4,856.86x = 6,702.42 × 2,760.99
  4. Step 4: Simplify right side
    4,856.86x = 18,505,314.60
  5. Step 5: Solve for x
    x = 18,505,314.60/4,856.86
  6. Step 6: Final answer
    x = 3,810.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.