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Finding the Fourth Proportional to 5,257.93, 7,886.90 and 1,362.33

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Solution

The fourth proportional to 5,257.93, 7,886.90 and 1,362.33 is: 2,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.93 : 7,886.90 = 1,362.33 : x
  2. Step 2: Convert to fraction form
    5,257.93/7,886.90 = 1,362.33/x
  3. Step 3: Cross multiply
    5,257.93x = 7,886.90 × 1,362.33
  4. Step 4: Simplify right side
    5,257.93x = 10,744,560.48
  5. Step 5: Solve for x
    x = 10,744,560.48/5,257.93
  6. Step 6: Final answer
    x = 2,043.50

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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.