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Finding the Fourth Proportional to 3,823.52, 5,735.36 and 1,358.40

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Solution

The fourth proportional to 3,823.52, 5,735.36 and 1,358.40 is: 2,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.52 : 5,735.36 = 1,358.40 : x
  2. Step 2: Convert to fraction form
    3,823.52/5,735.36 = 1,358.40/x
  3. Step 3: Cross multiply
    3,823.52x = 5,735.36 × 1,358.40
  4. Step 4: Simplify right side
    3,823.52x = 7,790,913.02
  5. Step 5: Solve for x
    x = 7,790,913.02/3,823.52
  6. Step 6: Final answer
    x = 2,037.63

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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.