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Finding the Fourth Proportional to 3,804.44, 5,706.80 and 1,856.58

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Solution

The fourth proportional to 3,804.44, 5,706.80 and 1,856.58 is: 2,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.44 : 5,706.80 = 1,856.58 : x
  2. Step 2: Convert to fraction form
    3,804.44/5,706.80 = 1,856.58/x
  3. Step 3: Cross multiply
    3,804.44x = 5,706.80 × 1,856.58
  4. Step 4: Simplify right side
    3,804.44x = 10,595,121.46
  5. Step 5: Solve for x
    x = 10,595,121.46/3,804.44
  6. Step 6: Final answer
    x = 2,784.94

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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.