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Finding the Fourth Proportional to 4,739.75, 7,109.63 and 1,277

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Solution

The fourth proportional to 4,739.75, 7,109.63 and 1,277 is: 1,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.75 : 7,109.63 = 1,277 : x
  2. Step 2: Convert to fraction form
    4,739.75/7,109.63 = 1,277/x
  3. Step 3: Cross multiply
    4,739.75x = 7,109.63 × 1,277
  4. Step 4: Simplify right side
    4,739.75x = 9,078,991.13
  5. Step 5: Solve for x
    x = 9,078,991.13/4,739.75
  6. Step 6: Final answer
    x = 1,915.50

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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.