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Finding the Fourth Proportional to 3,764.61, 5,647.23 and 1,299.45

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Solution

The fourth proportional to 3,764.61, 5,647.23 and 1,299.45 is: 1,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.61 : 5,647.23 = 1,299.45 : x
  2. Step 2: Convert to fraction form
    3,764.61/5,647.23 = 1,299.45/x
  3. Step 3: Cross multiply
    3,764.61x = 5,647.23 × 1,299.45
  4. Step 4: Simplify right side
    3,764.61x = 7,338,293.02
  5. Step 5: Solve for x
    x = 7,338,293.02/3,764.61
  6. Step 6: Final answer
    x = 1,949.28

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1.5x scale

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.