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Finding the Fourth Proportional to 5,260.14, 7,890.14 and 1,750.41

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Solution

The fourth proportional to 5,260.14, 7,890.14 and 1,750.41 is: 2,625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.14 : 7,890.14 = 1,750.41 : x
  2. Step 2: Convert to fraction form
    5,260.14/7,890.14 = 1,750.41/x
  3. Step 3: Cross multiply
    5,260.14x = 7,890.14 × 1,750.41
  4. Step 4: Simplify right side
    5,260.14x = 13,810,984.33
  5. Step 5: Solve for x
    x = 13,810,984.33/5,260.14
  6. Step 6: Final answer
    x = 2,625.59

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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.