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Finding the Fourth Proportional to 3,349.08, 5,023.70 and 884.15

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Solution

The fourth proportional to 3,349.08, 5,023.70 and 884.15 is: 1,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.08 : 5,023.70 = 884.15 : x
  2. Step 2: Convert to fraction form
    3,349.08/5,023.70 = 884.15/x
  3. Step 3: Cross multiply
    3,349.08x = 5,023.70 × 884.15
  4. Step 4: Simplify right side
    3,349.08x = 4,441,704.36
  5. Step 5: Solve for x
    x = 4,441,704.36/3,349.08
  6. Step 6: Final answer
    x = 1,326.25

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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.