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Finding the Fourth Proportional to 4,910.40, 7,365.92 and 4,094.48

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Solution

The fourth proportional to 4,910.40, 7,365.92 and 4,094.48 is: 6,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,910.40 : 7,365.92 = 4,094.48 : x
  2. Step 2: Convert to fraction form
    4,910.40/7,365.92 = 4,094.48/x
  3. Step 3: Cross multiply
    4,910.40x = 7,365.92 × 4,094.48
  4. Step 4: Simplify right side
    4,910.40x = 30,159,612.12
  5. Step 5: Solve for x
    x = 30,159,612.12/4,910.40
  6. Step 6: Final answer
    x = 6,141.99

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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.