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Finding the Fourth Proportional to 4,626.27, 6,938.10 and 1,664.28

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Solution

The fourth proportional to 4,626.27, 6,938.10 and 1,664.28 is: 2,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.27 : 6,938.10 = 1,664.28 : x
  2. Step 2: Convert to fraction form
    4,626.27/6,938.10 = 1,664.28/x
  3. Step 3: Cross multiply
    4,626.27x = 6,938.10 × 1,664.28
  4. Step 4: Simplify right side
    4,626.27x = 11,546,941.07
  5. Step 5: Solve for x
    x = 11,546,941.07/4,626.27
  6. Step 6: Final answer
    x = 2,495.95

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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.