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Finding the Fourth Proportional to 3,775.83, 5,208.60 and 2,284.23

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Solution

The fourth proportional to 3,775.83, 5,208.60 and 2,284.23 is: 3,151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.83 : 5,208.60 = 2,284.23 : x
  2. Step 2: Convert to fraction form
    3,775.83/5,208.60 = 2,284.23/x
  3. Step 3: Cross multiply
    3,775.83x = 5,208.60 × 2,284.23
  4. Step 4: Simplify right side
    3,775.83x = 11,897,640.38
  5. Step 5: Solve for x
    x = 11,897,640.38/3,775.83
  6. Step 6: Final answer
    x = 3,151.00

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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.