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Finding the Fourth Proportional to 4,471.02, 6,708.42 and 1,699.02

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Solution

The fourth proportional to 4,471.02, 6,708.42 and 1,699.02 is: 2,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.02 : 6,708.42 = 1,699.02 : x
  2. Step 2: Convert to fraction form
    4,471.02/6,708.42 = 1,699.02/x
  3. Step 3: Cross multiply
    4,471.02x = 6,708.42 × 1,699.02
  4. Step 4: Simplify right side
    4,471.02x = 11,397,739.75
  5. Step 5: Solve for x
    x = 11,397,739.75/4,471.02
  6. Step 6: Final answer
    x = 2,549.25

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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.