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Finding the Fourth Proportional to 3,349.57, 5,023.93 and 884.58

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Solution

The fourth proportional to 3,349.57, 5,023.93 and 884.58 is: 1,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.57 : 5,023.93 = 884.58 : x
  2. Step 2: Convert to fraction form
    3,349.57/5,023.93 = 884.58/x
  3. Step 3: Cross multiply
    3,349.57x = 5,023.93 × 884.58
  4. Step 4: Simplify right side
    3,349.57x = 4,444,053.23
  5. Step 5: Solve for x
    x = 4,444,053.23/3,349.57
  6. Step 6: Final answer
    x = 1,326.75

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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.