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Finding the Fourth Proportional to 3,857.80, 5,782.05 and 1,774.93

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Solution

The fourth proportional to 3,857.80, 5,782.05 and 1,774.93 is: 2,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.80 : 5,782.05 = 1,774.93 : x
  2. Step 2: Convert to fraction form
    3,857.80/5,782.05 = 1,774.93/x
  3. Step 3: Cross multiply
    3,857.80x = 5,782.05 × 1,774.93
  4. Step 4: Simplify right side
    3,857.80x = 10,262,719.55
  5. Step 5: Solve for x
    x = 10,262,719.55/3,857.80
  6. Step 6: Final answer
    x = 2,660.25

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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.