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Finding the Fourth Proportional to 3,847.40, 5,319.78 and 3,355.34

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Solution

The fourth proportional to 3,847.40, 5,319.78 and 3,355.34 is: 4,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.40 : 5,319.78 = 3,355.34 : x
  2. Step 2: Convert to fraction form
    3,847.40/5,319.78 = 3,355.34/x
  3. Step 3: Cross multiply
    3,847.40x = 5,319.78 × 3,355.34
  4. Step 4: Simplify right side
    3,847.40x = 17,849,670.63
  5. Step 5: Solve for x
    x = 17,849,670.63/3,847.40
  6. Step 6: Final answer
    x = 4,639.41

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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.