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Finding the Fourth Proportional to 4,786.95, 7,162.38 and 4,301.36

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Solution

The fourth proportional to 4,786.95, 7,162.38 and 4,301.36 is: 6,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.95 : 7,162.38 = 4,301.36 : x
  2. Step 2: Convert to fraction form
    4,786.95/7,162.38 = 4,301.36/x
  3. Step 3: Cross multiply
    4,786.95x = 7,162.38 × 4,301.36
  4. Step 4: Simplify right side
    4,786.95x = 30,807,939.02
  5. Step 5: Solve for x
    x = 30,807,939.02/4,786.95
  6. Step 6: Final answer
    x = 6,435.82

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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.