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Finding the Fourth Proportional to 4,707.80, 7,064 and 1,896.52

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Solution

The fourth proportional to 4,707.80, 7,064 and 1,896.52 is: 2,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.80 : 7,064 = 1,896.52 : x
  2. Step 2: Convert to fraction form
    4,707.80/7,064 = 1,896.52/x
  3. Step 3: Cross multiply
    4,707.80x = 7,064 × 1,896.52
  4. Step 4: Simplify right side
    4,707.80x = 13,397,017.28
  5. Step 5: Solve for x
    x = 13,397,017.28/4,707.80
  6. Step 6: Final answer
    x = 2,845.71

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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.