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Finding the Fourth Proportional to 4,028.94, 6,041.88 and 1,948.25

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Solution

The fourth proportional to 4,028.94, 6,041.88 and 1,948.25 is: 2,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,028.94 : 6,041.88 = 1,948.25 : x
  2. Step 2: Convert to fraction form
    4,028.94/6,041.88 = 1,948.25/x
  3. Step 3: Cross multiply
    4,028.94x = 6,041.88 × 1,948.25
  4. Step 4: Simplify right side
    4,028.94x = 11,771,062.50
  5. Step 5: Solve for x
    x = 11,771,062.50/4,028.94
  6. Step 6: Final answer
    x = 2,921.63

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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.