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Finding the Fourth Proportional to 4,471.56, 6,703.92 and 1,697.40

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Solution

The fourth proportional to 4,471.56, 6,703.92 and 1,697.40 is: 2,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.56 : 6,703.92 = 1,697.40 : x
  2. Step 2: Convert to fraction form
    4,471.56/6,703.92 = 1,697.40/x
  3. Step 3: Cross multiply
    4,471.56x = 6,703.92 × 1,697.40
  4. Step 4: Simplify right side
    4,471.56x = 11,379,233.81
  5. Step 5: Solve for x
    x = 11,379,233.81/4,471.56
  6. Step 6: Final answer
    x = 2,544.80

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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.