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Finding the Fourth Proportional to 3,868.57, 5,803.73 and 1,271.53

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Solution

The fourth proportional to 3,868.57, 5,803.73 and 1,271.53 is: 1,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.57 : 5,803.73 = 1,271.53 : x
  2. Step 2: Convert to fraction form
    3,868.57/5,803.73 = 1,271.53/x
  3. Step 3: Cross multiply
    3,868.57x = 5,803.73 × 1,271.53
  4. Step 4: Simplify right side
    3,868.57x = 7,379,581.43
  5. Step 5: Solve for x
    x = 7,379,581.43/3,868.57
  6. Step 6: Final answer
    x = 1,907.58

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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.