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Finding the Fourth Proportional to 5,894.05, 8,133.70 and 3,205.30

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Solution

The fourth proportional to 5,894.05, 8,133.70 and 3,205.30 is: 4,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.05 : 8,133.70 = 3,205.30 : x
  2. Step 2: Convert to fraction form
    5,894.05/8,133.70 = 3,205.30/x
  3. Step 3: Cross multiply
    5,894.05x = 8,133.70 × 3,205.30
  4. Step 4: Simplify right side
    5,894.05x = 26,070,948.61
  5. Step 5: Solve for x
    x = 26,070,948.61/5,894.05
  6. Step 6: Final answer
    x = 4,423.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.