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Finding the Fourth Proportional to 4,973, 6,862.74 and 2,765

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Solution

The fourth proportional to 4,973, 6,862.74 and 2,765 is: 3,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973 : 6,862.74 = 2,765 : x
  2. Step 2: Convert to fraction form
    4,973/6,862.74 = 2,765/x
  3. Step 3: Cross multiply
    4,973x = 6,862.74 × 2,765
  4. Step 4: Simplify right side
    4,973x = 18,975,476.10
  5. Step 5: Solve for x
    x = 18,975,476.10/4,973
  6. Step 6: Final answer
    x = 3,815.70

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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.