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Finding the Fourth Proportional to 3,869.76, 5,804.34 and 1,096.53

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Solution

The fourth proportional to 3,869.76, 5,804.34 and 1,096.53 is: 1,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.76 : 5,804.34 = 1,096.53 : x
  2. Step 2: Convert to fraction form
    3,869.76/5,804.34 = 1,096.53/x
  3. Step 3: Cross multiply
    3,869.76x = 5,804.34 × 1,096.53
  4. Step 4: Simplify right side
    3,869.76x = 6,364,632.94
  5. Step 5: Solve for x
    x = 6,364,632.94/3,869.76
  6. Step 6: Final answer
    x = 1,644.71

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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.