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Finding the Fourth Proportional to 5,002.97, 6,904.06 and 2,765

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Solution

The fourth proportional to 5,002.97, 6,904.06 and 2,765 is: 3,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.97 : 6,904.06 = 2,765 : x
  2. Step 2: Convert to fraction form
    5,002.97/6,904.06 = 2,765/x
  3. Step 3: Cross multiply
    5,002.97x = 6,904.06 × 2,765
  4. Step 4: Simplify right side
    5,002.97x = 19,089,725.90
  5. Step 5: Solve for x
    x = 19,089,725.90/5,002.97
  6. Step 6: Final answer
    x = 3,815.68

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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.