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Finding the Fourth Proportional to 4,328.33, 6,494.99 and 1,829.32

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Solution

The fourth proportional to 4,328.33, 6,494.99 and 1,829.32 is: 2,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.33 : 6,494.99 = 1,829.32 : x
  2. Step 2: Convert to fraction form
    4,328.33/6,494.99 = 1,829.32/x
  3. Step 3: Cross multiply
    4,328.33x = 6,494.99 × 1,829.32
  4. Step 4: Simplify right side
    4,328.33x = 11,881,389.72
  5. Step 5: Solve for x
    x = 11,881,389.72/4,328.33
  6. Step 6: Final answer
    x = 2,745.03

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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.