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Finding the Fourth Proportional to 3,500.34, 4,830.03 and 2,008.05

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Solution

The fourth proportional to 3,500.34, 4,830.03 and 2,008.05 is: 2,770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.34 : 4,830.03 = 2,008.05 : x
  2. Step 2: Convert to fraction form
    3,500.34/4,830.03 = 2,008.05/x
  3. Step 3: Cross multiply
    3,500.34x = 4,830.03 × 2,008.05
  4. Step 4: Simplify right side
    3,500.34x = 9,698,941.74
  5. Step 5: Solve for x
    x = 9,698,941.74/3,500.34
  6. Step 6: Final answer
    x = 2,770.86

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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.