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Finding the Fourth Proportional to 4,906.60, 7,349.10 and 4,042.60

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Solution

The fourth proportional to 4,906.60, 7,349.10 and 4,042.60 is: 6,055.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.60 : 7,349.10 = 4,042.60 : x
  2. Step 2: Convert to fraction form
    4,906.60/7,349.10 = 4,042.60/x
  3. Step 3: Cross multiply
    4,906.60x = 7,349.10 × 4,042.60
  4. Step 4: Simplify right side
    4,906.60x = 29,709,471.66
  5. Step 5: Solve for x
    x = 29,709,471.66/4,906.60
  6. Step 6: Final answer
    x = 6,055.00

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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.