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Finding the Fourth Proportional to 4,807, 7,213.38 and 2,071

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Solution

The fourth proportional to 4,807, 7,213.38 and 2,071 is: 3,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807 : 7,213.38 = 2,071 : x
  2. Step 2: Convert to fraction form
    4,807/7,213.38 = 2,071/x
  3. Step 3: Cross multiply
    4,807x = 7,213.38 × 2,071
  4. Step 4: Simplify right side
    4,807x = 14,938,909.98
  5. Step 5: Solve for x
    x = 14,938,909.98/4,807
  6. Step 6: Final answer
    x = 3,107.74

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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.