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Finding the Fourth Proportional to 4,778.79, 7,127.31 and 4,197.60

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Solution

The fourth proportional to 4,778.79, 7,127.31 and 4,197.60 is: 6,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.79 : 7,127.31 = 4,197.60 : x
  2. Step 2: Convert to fraction form
    4,778.79/7,127.31 = 4,197.60/x
  3. Step 3: Cross multiply
    4,778.79x = 7,127.31 × 4,197.60
  4. Step 4: Simplify right side
    4,778.79x = 29,917,596.46
  5. Step 5: Solve for x
    x = 29,917,596.46/4,778.79
  6. Step 6: Final answer
    x = 6,260.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.