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Finding the Fourth Proportional to 4,232.60, 5,842.24 and 2,740.48

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Solution

The fourth proportional to 4,232.60, 5,842.24 and 2,740.48 is: 3,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.60 : 5,842.24 = 2,740.48 : x
  2. Step 2: Convert to fraction form
    4,232.60/5,842.24 = 2,740.48/x
  3. Step 3: Cross multiply
    4,232.60x = 5,842.24 × 2,740.48
  4. Step 4: Simplify right side
    4,232.60x = 16,010,541.88
  5. Step 5: Solve for x
    x = 16,010,541.88/4,232.60
  6. Step 6: Final answer
    x = 3,782.67

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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.