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Finding the Fourth Proportional to 3,742.64, 5,615.04 and 1,145.96

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Solution

The fourth proportional to 3,742.64, 5,615.04 and 1,145.96 is: 1,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.64 : 5,615.04 = 1,145.96 : x
  2. Step 2: Convert to fraction form
    3,742.64/5,615.04 = 1,145.96/x
  3. Step 3: Cross multiply
    3,742.64x = 5,615.04 × 1,145.96
  4. Step 4: Simplify right side
    3,742.64x = 6,434,611.24
  5. Step 5: Solve for x
    x = 6,434,611.24/3,742.64
  6. Step 6: Final answer
    x = 1,719.27

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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.