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Finding the Fourth Proportional to 3,389.65, 5,074.89 and 2,154

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Solution

The fourth proportional to 3,389.65, 5,074.89 and 2,154 is: 3,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.65 : 5,074.89 = 2,154 : x
  2. Step 2: Convert to fraction form
    3,389.65/5,074.89 = 2,154/x
  3. Step 3: Cross multiply
    3,389.65x = 5,074.89 × 2,154
  4. Step 4: Simplify right side
    3,389.65x = 10,931,313.06
  5. Step 5: Solve for x
    x = 10,931,313.06/3,389.65
  6. Step 6: Final answer
    x = 3,224.91

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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.