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Finding the Fourth Proportional to 4,601.70, 6,886.14 and 3,683.16

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Solution

The fourth proportional to 4,601.70, 6,886.14 and 3,683.16 is: 5,511.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.70 : 6,886.14 = 3,683.16 : x
  2. Step 2: Convert to fraction form
    4,601.70/6,886.14 = 3,683.16/x
  3. Step 3: Cross multiply
    4,601.70x = 6,886.14 × 3,683.16
  4. Step 4: Simplify right side
    4,601.70x = 25,362,755.40
  5. Step 5: Solve for x
    x = 25,362,755.40/4,601.70
  6. Step 6: Final answer
    x = 5,511.61

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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.