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Finding the Fourth Proportional to 4,973.02, 6,862.94 and 2,734.99

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Solution

The fourth proportional to 4,973.02, 6,862.94 and 2,734.99 is: 3,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.02 : 6,862.94 = 2,734.99 : x
  2. Step 2: Convert to fraction form
    4,973.02/6,862.94 = 2,734.99/x
  3. Step 3: Cross multiply
    4,973.02x = 6,862.94 × 2,734.99
  4. Step 4: Simplify right side
    4,973.02x = 18,770,072.27
  5. Step 5: Solve for x
    x = 18,770,072.27/4,973.02
  6. Step 6: Final answer
    x = 3,774.38

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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.