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Finding the Fourth Proportional to 3,394.02, 5,090.86 and 928.79

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Solution

The fourth proportional to 3,394.02, 5,090.86 and 928.79 is: 1,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.02 : 5,090.86 = 928.79 : x
  2. Step 2: Convert to fraction form
    3,394.02/5,090.86 = 928.79/x
  3. Step 3: Cross multiply
    3,394.02x = 5,090.86 × 928.79
  4. Step 4: Simplify right side
    3,394.02x = 4,728,339.86
  5. Step 5: Solve for x
    x = 4,728,339.86/3,394.02
  6. Step 6: Final answer
    x = 1,393.14

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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.