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Finding the Fourth Proportional to 3,854.64, 5,782.80 and 1,257.84

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Solution

The fourth proportional to 3,854.64, 5,782.80 and 1,257.84 is: 1,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.64 : 5,782.80 = 1,257.84 : x
  2. Step 2: Convert to fraction form
    3,854.64/5,782.80 = 1,257.84/x
  3. Step 3: Cross multiply
    3,854.64x = 5,782.80 × 1,257.84
  4. Step 4: Simplify right side
    3,854.64x = 7,273,837.15
  5. Step 5: Solve for x
    x = 7,273,837.15/3,854.64
  6. Step 6: Final answer
    x = 1,887.03

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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.