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Finding the Fourth Proportional to 4,647.87, 6,971.81 and 2,336.67

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Solution

The fourth proportional to 4,647.87, 6,971.81 and 2,336.67 is: 3,505.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.87 : 6,971.81 = 2,336.67 : x
  2. Step 2: Convert to fraction form
    4,647.87/6,971.81 = 2,336.67/x
  3. Step 3: Cross multiply
    4,647.87x = 6,971.81 × 2,336.67
  4. Step 4: Simplify right side
    4,647.87x = 16,290,807.59
  5. Step 5: Solve for x
    x = 16,290,807.59/4,647.87
  6. Step 6: Final answer
    x = 3,505.01

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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.