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Finding the Fourth Proportional to 3,855, 5,782.50 and 1,119

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Solution

The fourth proportional to 3,855, 5,782.50 and 1,119 is: 1,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855 : 5,782.50 = 1,119 : x
  2. Step 2: Convert to fraction form
    3,855/5,782.50 = 1,119/x
  3. Step 3: Cross multiply
    3,855x = 5,782.50 × 1,119
  4. Step 4: Simplify right side
    3,855x = 6,470,617.50
  5. Step 5: Solve for x
    x = 6,470,617.50/3,855
  6. Step 6: Final answer
    x = 1,678.50

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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.