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Finding the Fourth Proportional to 5,206.06, 7,809.51 and 1,696

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Solution

The fourth proportional to 5,206.06, 7,809.51 and 1,696 is: 2,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.06 : 7,809.51 = 1,696 : x
  2. Step 2: Convert to fraction form
    5,206.06/7,809.51 = 1,696/x
  3. Step 3: Cross multiply
    5,206.06x = 7,809.51 × 1,696
  4. Step 4: Simplify right side
    5,206.06x = 13,244,928.96
  5. Step 5: Solve for x
    x = 13,244,928.96/5,206.06
  6. Step 6: Final answer
    x = 2,544.14

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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.