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Finding the Fourth Proportional to 4,806.40, 6,632.04 and 3,813.88

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Solution

The fourth proportional to 4,806.40, 6,632.04 and 3,813.88 is: 5,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.40 : 6,632.04 = 3,813.88 : x
  2. Step 2: Convert to fraction form
    4,806.40/6,632.04 = 3,813.88/x
  3. Step 3: Cross multiply
    4,806.40x = 6,632.04 × 3,813.88
  4. Step 4: Simplify right side
    4,806.40x = 25,293,804.72
  5. Step 5: Solve for x
    x = 25,293,804.72/4,806.40
  6. Step 6: Final answer
    x = 5,262.53

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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.