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Finding the Fourth Proportional to 5,109.60, 7,664.40 and 1,826.40

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Solution

The fourth proportional to 5,109.60, 7,664.40 and 1,826.40 is: 2,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.60 : 7,664.40 = 1,826.40 : x
  2. Step 2: Convert to fraction form
    5,109.60/7,664.40 = 1,826.40/x
  3. Step 3: Cross multiply
    5,109.60x = 7,664.40 × 1,826.40
  4. Step 4: Simplify right side
    5,109.60x = 13,998,260.16
  5. Step 5: Solve for x
    x = 13,998,260.16/5,109.60
  6. Step 6: Final answer
    x = 2,739.60

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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.