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Finding the Fourth Proportional to 5,722.08, 7,902 and 4,800.48

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Solution

The fourth proportional to 5,722.08, 7,902 and 4,800.48 is: 6,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.08 : 7,902 = 4,800.48 : x
  2. Step 2: Convert to fraction form
    5,722.08/7,902 = 4,800.48/x
  3. Step 3: Cross multiply
    5,722.08x = 7,902 × 4,800.48
  4. Step 4: Simplify right side
    5,722.08x = 37,933,392.96
  5. Step 5: Solve for x
    x = 37,933,392.96/5,722.08
  6. Step 6: Final answer
    x = 6,629.30

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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.