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Finding the Fourth Proportional to 5,610.64, 7,742.73 and 3,092.84

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Solution

The fourth proportional to 5,610.64, 7,742.73 and 3,092.84 is: 4,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.64 : 7,742.73 = 3,092.84 : x
  2. Step 2: Convert to fraction form
    5,610.64/7,742.73 = 3,092.84/x
  3. Step 3: Cross multiply
    5,610.64x = 7,742.73 × 3,092.84
  4. Step 4: Simplify right side
    5,610.64x = 23,946,986.34
  5. Step 5: Solve for x
    x = 23,946,986.34/5,610.64
  6. Step 6: Final answer
    x = 4,268.14

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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.