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Finding the Fourth Proportional to 3,855.36, 5,782.50 and 1,258.32

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Solution

The fourth proportional to 3,855.36, 5,782.50 and 1,258.32 is: 1,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.36 : 5,782.50 = 1,258.32 : x
  2. Step 2: Convert to fraction form
    3,855.36/5,782.50 = 1,258.32/x
  3. Step 3: Cross multiply
    3,855.36x = 5,782.50 × 1,258.32
  4. Step 4: Simplify right side
    3,855.36x = 7,276,235.40
  5. Step 5: Solve for x
    x = 7,276,235.40/3,855.36
  6. Step 6: Final answer
    x = 1,887.30

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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.