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Finding the Fourth Proportional to 4,735.99, 7,101.28 and 1,959.58

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Solution

The fourth proportional to 4,735.99, 7,101.28 and 1,959.58 is: 2,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.99 : 7,101.28 = 1,959.58 : x
  2. Step 2: Convert to fraction form
    4,735.99/7,101.28 = 1,959.58/x
  3. Step 3: Cross multiply
    4,735.99x = 7,101.28 × 1,959.58
  4. Step 4: Simplify right side
    4,735.99x = 13,915,526.26
  5. Step 5: Solve for x
    x = 13,915,526.26/4,735.99
  6. Step 6: Final answer
    x = 2,938.25

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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.