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Finding the Fourth Proportional to 4,771.71, 7,111.60 and 4,764.42

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Solution

The fourth proportional to 4,771.71, 7,111.60 and 4,764.42 is: 7,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.71 : 7,111.60 = 4,764.42 : x
  2. Step 2: Convert to fraction form
    4,771.71/7,111.60 = 4,764.42/x
  3. Step 3: Cross multiply
    4,771.71x = 7,111.60 × 4,764.42
  4. Step 4: Simplify right side
    4,771.71x = 33,882,637.36
  5. Step 5: Solve for x
    x = 33,882,637.36/4,771.71
  6. Step 6: Final answer
    x = 7,100.73

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