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Finding the Fourth Proportional to 4,230.60, 5,840.36 and 2,739.74

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Solution

The fourth proportional to 4,230.60, 5,840.36 and 2,739.74 is: 3,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.60 : 5,840.36 = 2,739.74 : x
  2. Step 2: Convert to fraction form
    4,230.60/5,840.36 = 2,739.74/x
  3. Step 3: Cross multiply
    4,230.60x = 5,840.36 × 2,739.74
  4. Step 4: Simplify right side
    4,230.60x = 16,001,025.01
  5. Step 5: Solve for x
    x = 16,001,025.01/4,230.60
  6. Step 6: Final answer
    x = 3,782.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.