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Finding the Fourth Proportional to 4,833.28, 7,242.80 and 2,161.64

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Solution

The fourth proportional to 4,833.28, 7,242.80 and 2,161.64 is: 3,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.28 : 7,242.80 = 2,161.64 : x
  2. Step 2: Convert to fraction form
    4,833.28/7,242.80 = 2,161.64/x
  3. Step 3: Cross multiply
    4,833.28x = 7,242.80 × 2,161.64
  4. Step 4: Simplify right side
    4,833.28x = 15,656,326.19
  5. Step 5: Solve for x
    x = 15,656,326.19/4,833.28
  6. Step 6: Final answer
    x = 3,239.28

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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.