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Finding the Fourth Proportional to 4,856.92, 6,702.78 and 3,088.96

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Solution

The fourth proportional to 4,856.92, 6,702.78 and 3,088.96 is: 4,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.92 : 6,702.78 = 3,088.96 : x
  2. Step 2: Convert to fraction form
    4,856.92/6,702.78 = 3,088.96/x
  3. Step 3: Cross multiply
    4,856.92x = 6,702.78 × 3,088.96
  4. Step 4: Simplify right side
    4,856.92x = 20,704,619.31
  5. Step 5: Solve for x
    x = 20,704,619.31/4,856.92
  6. Step 6: Final answer
    x = 4,262.91

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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.