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Finding the Fourth Proportional to 4,771.45, 7,143.97 and 3,597.90

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Solution

The fourth proportional to 4,771.45, 7,143.97 and 3,597.90 is: 5,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.45 : 7,143.97 = 3,597.90 : x
  2. Step 2: Convert to fraction form
    4,771.45/7,143.97 = 3,597.90/x
  3. Step 3: Cross multiply
    4,771.45x = 7,143.97 × 3,597.90
  4. Step 4: Simplify right side
    4,771.45x = 25,703,289.66
  5. Step 5: Solve for x
    x = 25,703,289.66/4,771.45
  6. Step 6: Final answer
    x = 5,386.89

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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.