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Finding the Fourth Proportional to 6,241.41, 9,362.16 and 1,858.95

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Solution

The fourth proportional to 6,241.41, 9,362.16 and 1,858.95 is: 2,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.41 : 9,362.16 = 1,858.95 : x
  2. Step 2: Convert to fraction form
    6,241.41/9,362.16 = 1,858.95/x
  3. Step 3: Cross multiply
    6,241.41x = 9,362.16 × 1,858.95
  4. Step 4: Simplify right side
    6,241.41x = 17,403,787.33
  5. Step 5: Solve for x
    x = 17,403,787.33/6,241.41
  6. Step 6: Final answer
    x = 2,788.44

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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.