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Finding the Fourth Proportional to 3,804.70, 5,708.35 and 2,049.89

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Solution

The fourth proportional to 3,804.70, 5,708.35 and 2,049.89 is: 3,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.70 : 5,708.35 = 2,049.89 : x
  2. Step 2: Convert to fraction form
    3,804.70/5,708.35 = 2,049.89/x
  3. Step 3: Cross multiply
    3,804.70x = 5,708.35 × 2,049.89
  4. Step 4: Simplify right side
    3,804.70x = 11,701,478.15
  5. Step 5: Solve for x
    x = 11,701,478.15/3,804.70
  6. Step 6: Final answer
    x = 3,075.53

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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.