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Finding the Fourth Proportional to 4,660.94, 6,430.41 and 2,644.10

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Solution

The fourth proportional to 4,660.94, 6,430.41 and 2,644.10 is: 3,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.94 : 6,430.41 = 2,644.10 : x
  2. Step 2: Convert to fraction form
    4,660.94/6,430.41 = 2,644.10/x
  3. Step 3: Cross multiply
    4,660.94x = 6,430.41 × 2,644.10
  4. Step 4: Simplify right side
    4,660.94x = 17,002,647.08
  5. Step 5: Solve for x
    x = 17,002,647.08/4,660.94
  6. Step 6: Final answer
    x = 3,647.90

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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.