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Finding the Fourth Proportional to 3,855.04, 5,782.56 and 1,546

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Solution

The fourth proportional to 3,855.04, 5,782.56 and 1,546 is: 2,319

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.04 : 5,782.56 = 1,546 : x
  2. Step 2: Convert to fraction form
    3,855.04/5,782.56 = 1,546/x
  3. Step 3: Cross multiply
    3,855.04x = 5,782.56 × 1,546
  4. Step 4: Simplify right side
    3,855.04x = 8,939,837.76
  5. Step 5: Solve for x
    x = 8,939,837.76/3,855.04
  6. Step 6: Final answer
    x = 2,319

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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.