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Finding the Fourth Proportional to 3,800.09, 5,702.30 and 3,035.45

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Solution

The fourth proportional to 3,800.09, 5,702.30 and 3,035.45 is: 4,554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.09 : 5,702.30 = 3,035.45 : x
  2. Step 2: Convert to fraction form
    3,800.09/5,702.30 = 3,035.45/x
  3. Step 3: Cross multiply
    3,800.09x = 5,702.30 × 3,035.45
  4. Step 4: Simplify right side
    3,800.09x = 17,309,002.85
  5. Step 5: Solve for x
    x = 17,309,002.85/3,800.09
  6. Step 6: Final answer
    x = 4,554.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.