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Finding the Fourth Proportional to 3,884.82, 5,827.32 and 3,583.95

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Solution

The fourth proportional to 3,884.82, 5,827.32 and 3,583.95 is: 5,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.82 : 5,827.32 = 3,583.95 : x
  2. Step 2: Convert to fraction form
    3,884.82/5,827.32 = 3,583.95/x
  3. Step 3: Cross multiply
    3,884.82x = 5,827.32 × 3,583.95
  4. Step 4: Simplify right side
    3,884.82x = 20,884,823.51
  5. Step 5: Solve for x
    x = 20,884,823.51/3,884.82
  6. Step 6: Final answer
    x = 5,376.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.