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Finding the Fourth Proportional to 4,723.60, 7,078.92 and 3,077.68

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Solution

The fourth proportional to 4,723.60, 7,078.92 and 3,077.68 is: 4,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.60 : 7,078.92 = 3,077.68 : x
  2. Step 2: Convert to fraction form
    4,723.60/7,078.92 = 3,077.68/x
  3. Step 3: Cross multiply
    4,723.60x = 7,078.92 × 3,077.68
  4. Step 4: Simplify right side
    4,723.60x = 21,786,650.51
  5. Step 5: Solve for x
    x = 21,786,650.51/4,723.60
  6. Step 6: Final answer
    x = 4,612.30

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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.