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Finding the Fourth Proportional to 4,267.36, 6,401.16 and 1,670.38

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Solution

The fourth proportional to 4,267.36, 6,401.16 and 1,670.38 is: 2,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.36 : 6,401.16 = 1,670.38 : x
  2. Step 2: Convert to fraction form
    4,267.36/6,401.16 = 1,670.38/x
  3. Step 3: Cross multiply
    4,267.36x = 6,401.16 × 1,670.38
  4. Step 4: Simplify right side
    4,267.36x = 10,692,369.64
  5. Step 5: Solve for x
    x = 10,692,369.64/4,267.36
  6. Step 6: Final answer
    x = 2,505.62

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