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Finding the Fourth Proportional to 4,961.35, 7,442.48 and 1,841.54

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Solution

The fourth proportional to 4,961.35, 7,442.48 and 1,841.54 is: 2,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.35 : 7,442.48 = 1,841.54 : x
  2. Step 2: Convert to fraction form
    4,961.35/7,442.48 = 1,841.54/x
  3. Step 3: Cross multiply
    4,961.35x = 7,442.48 × 1,841.54
  4. Step 4: Simplify right side
    4,961.35x = 13,705,592.01
  5. Step 5: Solve for x
    x = 13,705,592.01/4,961.35
  6. Step 6: Final answer
    x = 2,762.47

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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.