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Finding the Fourth Proportional to 5,855, 8,782.50 and 1,751

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Solution

The fourth proportional to 5,855, 8,782.50 and 1,751 is: 2,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855 : 8,782.50 = 1,751 : x
  2. Step 2: Convert to fraction form
    5,855/8,782.50 = 1,751/x
  3. Step 3: Cross multiply
    5,855x = 8,782.50 × 1,751
  4. Step 4: Simplify right side
    5,855x = 15,378,157.50
  5. Step 5: Solve for x
    x = 15,378,157.50/5,855
  6. Step 6: Final answer
    x = 2,626.50

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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.