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Finding the Fourth Proportional to 3,868.03, 5,804.48 and 1,559.53

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Solution

The fourth proportional to 3,868.03, 5,804.48 and 1,559.53 is: 2,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.03 : 5,804.48 = 1,559.53 : x
  2. Step 2: Convert to fraction form
    3,868.03/5,804.48 = 1,559.53/x
  3. Step 3: Cross multiply
    3,868.03x = 5,804.48 × 1,559.53
  4. Step 4: Simplify right side
    3,868.03x = 9,052,260.69
  5. Step 5: Solve for x
    x = 9,052,260.69/3,868.03
  6. Step 6: Final answer
    x = 2,340.28

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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.