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Finding the Fourth Proportional to 4,881.64, 7,324.70 and 2,109.16

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Solution

The fourth proportional to 4,881.64, 7,324.70 and 2,109.16 is: 3,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.64 : 7,324.70 = 2,109.16 : x
  2. Step 2: Convert to fraction form
    4,881.64/7,324.70 = 2,109.16/x
  3. Step 3: Cross multiply
    4,881.64x = 7,324.70 × 2,109.16
  4. Step 4: Simplify right side
    4,881.64x = 15,448,964.25
  5. Step 5: Solve for x
    x = 15,448,964.25/4,881.64
  6. Step 6: Final answer
    x = 3,164.71

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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.