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Finding the Fourth Proportional to 3,525.84, 4,861.60 and 2,860.64

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Solution

The fourth proportional to 3,525.84, 4,861.60 and 2,860.64 is: 3,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.84 : 4,861.60 = 2,860.64 : x
  2. Step 2: Convert to fraction form
    3,525.84/4,861.60 = 2,860.64/x
  3. Step 3: Cross multiply
    3,525.84x = 4,861.60 × 2,860.64
  4. Step 4: Simplify right side
    3,525.84x = 13,907,287.42
  5. Step 5: Solve for x
    x = 13,907,287.42/3,525.84
  6. Step 6: Final answer
    x = 3,944.39

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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.