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Finding the Fourth Proportional to 5,655.96, 7,805.07 and 3,297.94

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Solution

The fourth proportional to 5,655.96, 7,805.07 and 3,297.94 is: 4,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.96 : 7,805.07 = 3,297.94 : x
  2. Step 2: Convert to fraction form
    5,655.96/7,805.07 = 3,297.94/x
  3. Step 3: Cross multiply
    5,655.96x = 7,805.07 × 3,297.94
  4. Step 4: Simplify right side
    5,655.96x = 25,740,633.04
  5. Step 5: Solve for x
    x = 25,740,633.04/5,655.96
  6. Step 6: Final answer
    x = 4,551.06

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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.