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Finding the Fourth Proportional to 4,615.95, 6,924.12 and 1,328.97

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Solution

The fourth proportional to 4,615.95, 6,924.12 and 1,328.97 is: 1,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.95 : 6,924.12 = 1,328.97 : x
  2. Step 2: Convert to fraction form
    4,615.95/6,924.12 = 1,328.97/x
  3. Step 3: Cross multiply
    4,615.95x = 6,924.12 × 1,328.97
  4. Step 4: Simplify right side
    4,615.95x = 9,201,947.76
  5. Step 5: Solve for x
    x = 9,201,947.76/4,615.95
  6. Step 6: Final answer
    x = 1,993.51

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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.