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Finding the Fourth Proportional to 3,500.70, 4,830.60 and 2,008.50

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Solution

The fourth proportional to 3,500.70, 4,830.60 and 2,008.50 is: 2,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.70 : 4,830.60 = 2,008.50 : x
  2. Step 2: Convert to fraction form
    3,500.70/4,830.60 = 2,008.50/x
  3. Step 3: Cross multiply
    3,500.70x = 4,830.60 × 2,008.50
  4. Step 4: Simplify right side
    3,500.70x = 9,702,260.10
  5. Step 5: Solve for x
    x = 9,702,260.10/3,500.70
  6. Step 6: Final answer
    x = 2,771.52

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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.