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Finding the Fourth Proportional to 4,647, 6,410.76 and 2,758.66

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Solution

The fourth proportional to 4,647, 6,410.76 and 2,758.66 is: 3,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647 : 6,410.76 = 2,758.66 : x
  2. Step 2: Convert to fraction form
    4,647/6,410.76 = 2,758.66/x
  3. Step 3: Cross multiply
    4,647x = 6,410.76 × 2,758.66
  4. Step 4: Simplify right side
    4,647x = 17,685,107.18
  5. Step 5: Solve for x
    x = 17,685,107.18/4,647
  6. Step 6: Final answer
    x = 3,805.70

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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.