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Finding the Fourth Proportional to 4,856.94, 6,705.63 and 3,364.31

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Solution

The fourth proportional to 4,856.94, 6,705.63 and 3,364.31 is: 4,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.94 : 6,705.63 = 3,364.31 : x
  2. Step 2: Convert to fraction form
    4,856.94/6,705.63 = 3,364.31/x
  3. Step 3: Cross multiply
    4,856.94x = 6,705.63 × 3,364.31
  4. Step 4: Simplify right side
    4,856.94x = 22,559,784.54
  5. Step 5: Solve for x
    x = 22,559,784.54/4,856.94
  6. Step 6: Final answer
    x = 4,644.86

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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.