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Finding the Fourth Proportional to 5,446.02, 8,162.70 and 4,460.50

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Solution

The fourth proportional to 5,446.02, 8,162.70 and 4,460.50 is: 6,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.02 : 8,162.70 = 4,460.50 : x
  2. Step 2: Convert to fraction form
    5,446.02/8,162.70 = 4,460.50/x
  3. Step 3: Cross multiply
    5,446.02x = 8,162.70 × 4,460.50
  4. Step 4: Simplify right side
    5,446.02x = 36,409,723.35
  5. Step 5: Solve for x
    x = 36,409,723.35/5,446.02
  6. Step 6: Final answer
    x = 6,685.57

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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.