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Finding the Fourth Proportional to 3,984.50, 5,493.33 and 3,482.58

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Solution

The fourth proportional to 3,984.50, 5,493.33 and 3,482.58 is: 4,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.50 : 5,493.33 = 3,482.58 : x
  2. Step 2: Convert to fraction form
    3,984.50/5,493.33 = 3,482.58/x
  3. Step 3: Cross multiply
    3,984.50x = 5,493.33 × 3,482.58
  4. Step 4: Simplify right side
    3,984.50x = 19,130,961.19
  5. Step 5: Solve for x
    x = 19,130,961.19/3,984.50
  6. Step 6: Final answer
    x = 4,801.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.