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Finding the Fourth Proportional to 4,783.95, 7,166.46 and 4,425.09

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Solution

The fourth proportional to 4,783.95, 7,166.46 and 4,425.09 is: 6,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.95 : 7,166.46 = 4,425.09 : x
  2. Step 2: Convert to fraction form
    4,783.95/7,166.46 = 4,425.09/x
  3. Step 3: Cross multiply
    4,783.95x = 7,166.46 × 4,425.09
  4. Step 4: Simplify right side
    4,783.95x = 31,712,230.48
  5. Step 5: Solve for x
    x = 31,712,230.48/4,783.95
  6. Step 6: Final answer
    x = 6,628.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.