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Finding the Fourth Proportional to 3,855.97, 5,784.90 and 1,258.84

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Solution

The fourth proportional to 3,855.97, 5,784.90 and 1,258.84 is: 1,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.97 : 5,784.90 = 1,258.84 : x
  2. Step 2: Convert to fraction form
    3,855.97/5,784.90 = 1,258.84/x
  3. Step 3: Cross multiply
    3,855.97x = 5,784.90 × 1,258.84
  4. Step 4: Simplify right side
    3,855.97x = 7,282,263.52
  5. Step 5: Solve for x
    x = 7,282,263.52/3,855.97
  6. Step 6: Final answer
    x = 1,888.57

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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.