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Finding the Fourth Proportional to 3,645.30, 5,030.52 and 2,073.42

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Solution

The fourth proportional to 3,645.30, 5,030.52 and 2,073.42 is: 2,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.30 : 5,030.52 = 2,073.42 : x
  2. Step 2: Convert to fraction form
    3,645.30/5,030.52 = 2,073.42/x
  3. Step 3: Cross multiply
    3,645.30x = 5,030.52 × 2,073.42
  4. Step 4: Simplify right side
    3,645.30x = 10,430,380.78
  5. Step 5: Solve for x
    x = 10,430,380.78/3,645.30
  6. Step 6: Final answer
    x = 2,861.32

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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.