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Finding the Fourth Proportional to 3,918.64, 5,878.84 and 1,321.50

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Solution

The fourth proportional to 3,918.64, 5,878.84 and 1,321.50 is: 1,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.64 : 5,878.84 = 1,321.50 : x
  2. Step 2: Convert to fraction form
    3,918.64/5,878.84 = 1,321.50/x
  3. Step 3: Cross multiply
    3,918.64x = 5,878.84 × 1,321.50
  4. Step 4: Simplify right side
    3,918.64x = 7,768,887.06
  5. Step 5: Solve for x
    x = 7,768,887.06/3,918.64
  6. Step 6: Final answer
    x = 1,982.55

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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.