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Finding the Fourth Proportional to 3,775.51, 5,209.36 and 2,283.39

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Solution

The fourth proportional to 3,775.51, 5,209.36 and 2,283.39 is: 3,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.51 : 5,209.36 = 2,283.39 : x
  2. Step 2: Convert to fraction form
    3,775.51/5,209.36 = 2,283.39/x
  3. Step 3: Cross multiply
    3,775.51x = 5,209.36 × 2,283.39
  4. Step 4: Simplify right side
    3,775.51x = 11,894,994.82
  5. Step 5: Solve for x
    x = 11,894,994.82/3,775.51
  6. Step 6: Final answer
    x = 3,150.57

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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.