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Finding the Fourth Proportional to 2,910.65, 4,022.39 and 2,586.65

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Solution

The fourth proportional to 2,910.65, 4,022.39 and 2,586.65 is: 3,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.65 : 4,022.39 = 2,586.65 : x
  2. Step 2: Convert to fraction form
    2,910.65/4,022.39 = 2,586.65/x
  3. Step 3: Cross multiply
    2,910.65x = 4,022.39 × 2,586.65
  4. Step 4: Simplify right side
    2,910.65x = 10,404,501.45
  5. Step 5: Solve for x
    x = 10,404,501.45/2,910.65
  6. Step 6: Final answer
    x = 3,574.64

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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.