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Finding the Fourth Proportional to 5,965.69, 8,946.81 and 1,804.72

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Solution

The fourth proportional to 5,965.69, 8,946.81 and 1,804.72 is: 2,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.69 : 8,946.81 = 1,804.72 : x
  2. Step 2: Convert to fraction form
    5,965.69/8,946.81 = 1,804.72/x
  3. Step 3: Cross multiply
    5,965.69x = 8,946.81 × 1,804.72
  4. Step 4: Simplify right side
    5,965.69x = 16,146,464.58
  5. Step 5: Solve for x
    x = 16,146,464.58/5,965.69
  6. Step 6: Final answer
    x = 2,706.56

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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.