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Finding the Fourth Proportional to 3,455.38, 4,770.03 and 2,038.59

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Solution

The fourth proportional to 3,455.38, 4,770.03 and 2,038.59 is: 2,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.38 : 4,770.03 = 2,038.59 : x
  2. Step 2: Convert to fraction form
    3,455.38/4,770.03 = 2,038.59/x
  3. Step 3: Cross multiply
    3,455.38x = 4,770.03 × 2,038.59
  4. Step 4: Simplify right side
    3,455.38x = 9,724,135.46
  5. Step 5: Solve for x
    x = 9,724,135.46/3,455.38
  6. Step 6: Final answer
    x = 2,814.20

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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.