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Finding the Fourth Proportional to 3,868.36, 5,804.37 and 1,402.54

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Solution

The fourth proportional to 3,868.36, 5,804.37 and 1,402.54 is: 2,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.36 : 5,804.37 = 1,402.54 : x
  2. Step 2: Convert to fraction form
    3,868.36/5,804.37 = 1,402.54/x
  3. Step 3: Cross multiply
    3,868.36x = 5,804.37 × 1,402.54
  4. Step 4: Simplify right side
    3,868.36x = 8,140,861.10
  5. Step 5: Solve for x
    x = 8,140,861.10/3,868.36
  6. Step 6: Final answer
    x = 2,104.47

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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.