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Finding the Fourth Proportional to 3,500.52, 4,830.77 and 2,008.38

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Solution

The fourth proportional to 3,500.52, 4,830.77 and 2,008.38 is: 2,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.52 : 4,830.77 = 2,008.38 : x
  2. Step 2: Convert to fraction form
    3,500.52/4,830.77 = 2,008.38/x
  3. Step 3: Cross multiply
    3,500.52x = 4,830.77 × 2,008.38
  4. Step 4: Simplify right side
    3,500.52x = 9,702,011.81
  5. Step 5: Solve for x
    x = 9,702,011.81/3,500.52
  6. Step 6: Final answer
    x = 2,771.59

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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.