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Finding the Fourth Proportional to 3,884.57, 5,362.74 and 3,032.00

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Solution

The fourth proportional to 3,884.57, 5,362.74 and 3,032.00 is: 4,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.57 : 5,362.74 = 3,032.00 : x
  2. Step 2: Convert to fraction form
    3,884.57/5,362.74 = 3,032.00/x
  3. Step 3: Cross multiply
    3,884.57x = 5,362.74 × 3,032.00
  4. Step 4: Simplify right side
    3,884.57x = 16,259,833.77
  5. Step 5: Solve for x
    x = 16,259,833.77/3,884.57
  6. Step 6: Final answer
    x = 4,185.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.