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Finding the Fourth Proportional to 3,615.64, 5,423.46 and 1,018.24

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Solution

The fourth proportional to 3,615.64, 5,423.46 and 1,018.24 is: 1,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.64 : 5,423.46 = 1,018.24 : x
  2. Step 2: Convert to fraction form
    3,615.64/5,423.46 = 1,018.24/x
  3. Step 3: Cross multiply
    3,615.64x = 5,423.46 × 1,018.24
  4. Step 4: Simplify right side
    3,615.64x = 5,522,383.91
  5. Step 5: Solve for x
    x = 5,522,383.91/3,615.64
  6. Step 6: Final answer
    x = 1,527.36

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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.