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Finding the Fourth Proportional to 3,349.05, 5,023.20 and 884.07

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Solution

The fourth proportional to 3,349.05, 5,023.20 and 884.07 is: 1,326.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.05 : 5,023.20 = 884.07 : x
  2. Step 2: Convert to fraction form
    3,349.05/5,023.20 = 884.07/x
  3. Step 3: Cross multiply
    3,349.05x = 5,023.20 × 884.07
  4. Step 4: Simplify right side
    3,349.05x = 4,440,842.15
  5. Step 5: Solve for x
    x = 4,440,842.15/3,349.05
  6. Step 6: Final answer
    x = 1,326.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.