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Finding the Fourth Proportional to 3,737, 5,604.78 and 1,271.80

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Solution

The fourth proportional to 3,737, 5,604.78 and 1,271.80 is: 1,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737 : 5,604.78 = 1,271.80 : x
  2. Step 2: Convert to fraction form
    3,737/5,604.78 = 1,271.80/x
  3. Step 3: Cross multiply
    3,737x = 5,604.78 × 1,271.80
  4. Step 4: Simplify right side
    3,737x = 7,128,159.20
  5. Step 5: Solve for x
    x = 7,128,159.20/3,737
  6. Step 6: Final answer
    x = 1,907.45

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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.