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Finding the Fourth Proportional to 5,956.50, 8,219.90 and 3,303.90

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Solution

The fourth proportional to 5,956.50, 8,219.90 and 3,303.90 is: 4,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.50 : 8,219.90 = 3,303.90 : x
  2. Step 2: Convert to fraction form
    5,956.50/8,219.90 = 3,303.90/x
  3. Step 3: Cross multiply
    5,956.50x = 8,219.90 × 3,303.90
  4. Step 4: Simplify right side
    5,956.50x = 27,157,727.61
  5. Step 5: Solve for x
    x = 27,157,727.61/5,956.50
  6. Step 6: Final answer
    x = 4,559.34

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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.