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Finding the Fourth Proportional to 3,500.36, 4,830.38 and 1,928.48

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Solution

The fourth proportional to 3,500.36, 4,830.38 and 1,928.48 is: 2,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.36 : 4,830.38 = 1,928.48 : x
  2. Step 2: Convert to fraction form
    3,500.36/4,830.38 = 1,928.48/x
  3. Step 3: Cross multiply
    3,500.36x = 4,830.38 × 1,928.48
  4. Step 4: Simplify right side
    3,500.36x = 9,315,291.22
  5. Step 5: Solve for x
    x = 9,315,291.22/3,500.36
  6. Step 6: Final answer
    x = 2,661.24

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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.