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Finding the Fourth Proportional to 5,722.80, 7,895.40 and 3,483.96

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Solution

The fourth proportional to 5,722.80, 7,895.40 and 3,483.96 is: 4,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.80 : 7,895.40 = 3,483.96 : x
  2. Step 2: Convert to fraction form
    5,722.80/7,895.40 = 3,483.96/x
  3. Step 3: Cross multiply
    5,722.80x = 7,895.40 × 3,483.96
  4. Step 4: Simplify right side
    5,722.80x = 27,507,257.78
  5. Step 5: Solve for x
    x = 27,507,257.78/5,722.80
  6. Step 6: Final answer
    x = 4,806.61

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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.