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Finding the Fourth Proportional to 4,057.48, 6,076.50 and 3,620.08

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Solution

The fourth proportional to 4,057.48, 6,076.50 and 3,620.08 is: 5,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.48 : 6,076.50 = 3,620.08 : x
  2. Step 2: Convert to fraction form
    4,057.48/6,076.50 = 3,620.08/x
  3. Step 3: Cross multiply
    4,057.48x = 6,076.50 × 3,620.08
  4. Step 4: Simplify right side
    4,057.48x = 21,997,416.12
  5. Step 5: Solve for x
    x = 21,997,416.12/4,057.48
  6. Step 6: Final answer
    x = 5,421.45

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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.