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Finding the Fourth Proportional to 4,771.47, 6,583.50 and 3,092.34

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Solution

The fourth proportional to 4,771.47, 6,583.50 and 3,092.34 is: 4,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.47 : 6,583.50 = 3,092.34 : x
  2. Step 2: Convert to fraction form
    4,771.47/6,583.50 = 3,092.34/x
  3. Step 3: Cross multiply
    4,771.47x = 6,583.50 × 3,092.34
  4. Step 4: Simplify right side
    4,771.47x = 20,358,420.39
  5. Step 5: Solve for x
    x = 20,358,420.39/4,771.47
  6. Step 6: Final answer
    x = 4,266.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.