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Finding the Fourth Proportional to 5,665.63, 7,813.38 and 3,750.64

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Solution

The fourth proportional to 5,665.63, 7,813.38 and 3,750.64 is: 5,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.63 : 7,813.38 = 3,750.64 : x
  2. Step 2: Convert to fraction form
    5,665.63/7,813.38 = 3,750.64/x
  3. Step 3: Cross multiply
    5,665.63x = 7,813.38 × 3,750.64
  4. Step 4: Simplify right side
    5,665.63x = 29,305,175.56
  5. Step 5: Solve for x
    x = 29,305,175.56/5,665.63
  6. Step 6: Final answer
    x = 5,172.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.