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Finding the Fourth Proportional to 4,811.28, 7,164.66 and 4,681.68

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Solution

The fourth proportional to 4,811.28, 7,164.66 and 4,681.68 is: 6,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.28 : 7,164.66 = 4,681.68 : x
  2. Step 2: Convert to fraction form
    4,811.28/7,164.66 = 4,681.68/x
  3. Step 3: Cross multiply
    4,811.28x = 7,164.66 × 4,681.68
  4. Step 4: Simplify right side
    4,811.28x = 33,542,645.43
  5. Step 5: Solve for x
    x = 33,542,645.43/4,811.28
  6. Step 6: Final answer
    x = 6,971.67

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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.