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Finding the Fourth Proportional to 3,222.38, 4,833.58 and 913.88

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Solution

The fourth proportional to 3,222.38, 4,833.58 and 913.88 is: 1,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.38 : 4,833.58 = 913.88 : x
  2. Step 2: Convert to fraction form
    3,222.38/4,833.58 = 913.88/x
  3. Step 3: Cross multiply
    3,222.38x = 4,833.58 × 913.88
  4. Step 4: Simplify right side
    3,222.38x = 4,417,312.09
  5. Step 5: Solve for x
    x = 4,417,312.09/3,222.38
  6. Step 6: Final answer
    x = 1,370.82

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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.