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Finding the Fourth Proportional to 4,094.58, 5,648.85 and 2,853.30

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Solution

The fourth proportional to 4,094.58, 5,648.85 and 2,853.30 is: 3,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.58 : 5,648.85 = 2,853.30 : x
  2. Step 2: Convert to fraction form
    4,094.58/5,648.85 = 2,853.30/x
  3. Step 3: Cross multiply
    4,094.58x = 5,648.85 × 2,853.30
  4. Step 4: Simplify right side
    4,094.58x = 16,117,863.71
  5. Step 5: Solve for x
    x = 16,117,863.71/4,094.58
  6. Step 6: Final answer
    x = 3,936.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.