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Finding the Fourth Proportional to 4,054.81, 6,082.84 and 1,714.82

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Solution

The fourth proportional to 4,054.81, 6,082.84 and 1,714.82 is: 2,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.81 : 6,082.84 = 1,714.82 : x
  2. Step 2: Convert to fraction form
    4,054.81/6,082.84 = 1,714.82/x
  3. Step 3: Cross multiply
    4,054.81x = 6,082.84 × 1,714.82
  4. Step 4: Simplify right side
    4,054.81x = 10,430,975.69
  5. Step 5: Solve for x
    x = 10,430,975.69/4,054.81
  6. Step 6: Final answer
    x = 2,572.49

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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.