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Finding the Fourth Proportional to 3,670.26, 5,064.88 and 1,991.64

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Solution

The fourth proportional to 3,670.26, 5,064.88 and 1,991.64 is: 2,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.26 : 5,064.88 = 1,991.64 : x
  2. Step 2: Convert to fraction form
    3,670.26/5,064.88 = 1,991.64/x
  3. Step 3: Cross multiply
    3,670.26x = 5,064.88 × 1,991.64
  4. Step 4: Simplify right side
    3,670.26x = 10,087,417.60
  5. Step 5: Solve for x
    x = 10,087,417.60/3,670.26
  6. Step 6: Final answer
    x = 2,748.42

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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.