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Finding the Fourth Proportional to 3,393.76, 5,090.58 and 928.84

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Solution

The fourth proportional to 3,393.76, 5,090.58 and 928.84 is: 1,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.76 : 5,090.58 = 928.84 : x
  2. Step 2: Convert to fraction form
    3,393.76/5,090.58 = 928.84/x
  3. Step 3: Cross multiply
    3,393.76x = 5,090.58 × 928.84
  4. Step 4: Simplify right side
    3,393.76x = 4,728,334.33
  5. Step 5: Solve for x
    x = 4,728,334.33/3,393.76
  6. Step 6: Final answer
    x = 1,393.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.