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Finding the Fourth Proportional to 3,809.85, 5,702.10 and 3,353.12

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Solution

The fourth proportional to 3,809.85, 5,702.10 and 3,353.12 is: 5,018.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.85 : 5,702.10 = 3,353.12 : x
  2. Step 2: Convert to fraction form
    3,809.85/5,702.10 = 3,353.12/x
  3. Step 3: Cross multiply
    3,809.85x = 5,702.10 × 3,353.12
  4. Step 4: Simplify right side
    3,809.85x = 19,119,825.55
  5. Step 5: Solve for x
    x = 19,119,825.55/3,809.85
  6. Step 6: Final answer
    x = 5,018.52

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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.