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Finding the Fourth Proportional to 3,305.52, 4,958.46 and 840.35

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Solution

The fourth proportional to 3,305.52, 4,958.46 and 840.35 is: 1,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.52 : 4,958.46 = 840.35 : x
  2. Step 2: Convert to fraction form
    3,305.52/4,958.46 = 840.35/x
  3. Step 3: Cross multiply
    3,305.52x = 4,958.46 × 840.35
  4. Step 4: Simplify right side
    3,305.52x = 4,166,854.26
  5. Step 5: Solve for x
    x = 4,166,854.26/3,305.52
  6. Step 6: Final answer
    x = 1,260.57

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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.