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Finding the Fourth Proportional to 4,267.58, 6,424.42 and 3,838.45

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Solution

The fourth proportional to 4,267.58, 6,424.42 and 3,838.45 is: 5,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.58 : 6,424.42 = 3,838.45 : x
  2. Step 2: Convert to fraction form
    4,267.58/6,424.42 = 3,838.45/x
  3. Step 3: Cross multiply
    4,267.58x = 6,424.42 × 3,838.45
  4. Step 4: Simplify right side
    4,267.58x = 24,659,763.63
  5. Step 5: Solve for x
    x = 24,659,763.63/4,267.58
  6. Step 6: Final answer
    x = 5,778.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.