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Finding the Fourth Proportional to 3,743.60, 5,615.40 and 3,014.60

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Solution

The fourth proportional to 3,743.60, 5,615.40 and 3,014.60 is: 4,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.60 : 5,615.40 = 3,014.60 : x
  2. Step 2: Convert to fraction form
    3,743.60/5,615.40 = 3,014.60/x
  3. Step 3: Cross multiply
    3,743.60x = 5,615.40 × 3,014.60
  4. Step 4: Simplify right side
    3,743.60x = 16,928,184.84
  5. Step 5: Solve for x
    x = 16,928,184.84/3,743.60
  6. Step 6: Final answer
    x = 4,521.90

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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.