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Finding the Fourth Proportional to 4,996.09, 6,894.53 and 2,758

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Solution

The fourth proportional to 4,996.09, 6,894.53 and 2,758 is: 3,806.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.09 : 6,894.53 = 2,758 : x
  2. Step 2: Convert to fraction form
    4,996.09/6,894.53 = 2,758/x
  3. Step 3: Cross multiply
    4,996.09x = 6,894.53 × 2,758
  4. Step 4: Simplify right side
    4,996.09x = 19,015,113.74
  5. Step 5: Solve for x
    x = 19,015,113.74/4,996.09
  6. Step 6: Final answer
    x = 3,806.00

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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.