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Finding the Fourth Proportional to 4,606.65, 6,908.13 and 2,007.75

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Solution

The fourth proportional to 4,606.65, 6,908.13 and 2,007.75 is: 3,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.65 : 6,908.13 = 2,007.75 : x
  2. Step 2: Convert to fraction form
    4,606.65/6,908.13 = 2,007.75/x
  3. Step 3: Cross multiply
    4,606.65x = 6,908.13 × 2,007.75
  4. Step 4: Simplify right side
    4,606.65x = 13,869,798.01
  5. Step 5: Solve for x
    x = 13,869,798.01/4,606.65
  6. Step 6: Final answer
    x = 3,010.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.