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Finding the Fourth Proportional to 3,813.55, 5,242.46 and 3,280.48

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Solution

The fourth proportional to 3,813.55, 5,242.46 and 3,280.48 is: 4,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.55 : 5,242.46 = 3,280.48 : x
  2. Step 2: Convert to fraction form
    3,813.55/5,242.46 = 3,280.48/x
  3. Step 3: Cross multiply
    3,813.55x = 5,242.46 × 3,280.48
  4. Step 4: Simplify right side
    3,813.55x = 17,197,785.18
  5. Step 5: Solve for x
    x = 17,197,785.18/3,813.55
  6. Step 6: Final answer
    x = 4,509.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.