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Finding the Fourth Proportional to 4,804.94, 7,199.62 and 3,812.38

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Solution

The fourth proportional to 4,804.94, 7,199.62 and 3,812.38 is: 5,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.94 : 7,199.62 = 3,812.38 : x
  2. Step 2: Convert to fraction form
    4,804.94/7,199.62 = 3,812.38/x
  3. Step 3: Cross multiply
    4,804.94x = 7,199.62 × 3,812.38
  4. Step 4: Simplify right side
    4,804.94x = 27,447,702.89
  5. Step 5: Solve for x
    x = 27,447,702.89/4,804.94
  6. Step 6: Final answer
    x = 5,712.39

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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.