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Finding the Fourth Proportional to 3,737.29, 5,606.46 and 1,271.44

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Solution

The fourth proportional to 3,737.29, 5,606.46 and 1,271.44 is: 1,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.29 : 5,606.46 = 1,271.44 : x
  2. Step 2: Convert to fraction form
    3,737.29/5,606.46 = 1,271.44/x
  3. Step 3: Cross multiply
    3,737.29x = 5,606.46 × 1,271.44
  4. Step 4: Simplify right side
    3,737.29x = 7,128,277.50
  5. Step 5: Solve for x
    x = 7,128,277.50/3,737.29
  6. Step 6: Final answer
    x = 1,907.34

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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.