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Finding the Fourth Proportional to 5,739.60, 8,609.76 and 1,844.40

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Solution

The fourth proportional to 5,739.60, 8,609.76 and 1,844.40 is: 2,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.60 : 8,609.76 = 1,844.40 : x
  2. Step 2: Convert to fraction form
    5,739.60/8,609.76 = 1,844.40/x
  3. Step 3: Cross multiply
    5,739.60x = 8,609.76 × 1,844.40
  4. Step 4: Simplify right side
    5,739.60x = 15,879,841.34
  5. Step 5: Solve for x
    x = 15,879,841.34/5,739.60
  6. Step 6: Final answer
    x = 2,766.72

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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.