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Finding the Fourth Proportional to 5,965.76, 8,945.72 and 1,804.96

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Solution

The fourth proportional to 5,965.76, 8,945.72 and 1,804.96 is: 2,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.76 : 8,945.72 = 1,804.96 : x
  2. Step 2: Convert to fraction form
    5,965.76/8,945.72 = 1,804.96/x
  3. Step 3: Cross multiply
    5,965.76x = 8,945.72 × 1,804.96
  4. Step 4: Simplify right side
    5,965.76x = 16,146,666.77
  5. Step 5: Solve for x
    x = 16,146,666.77/5,965.76
  6. Step 6: Final answer
    x = 2,706.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.