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Finding the Fourth Proportional to 4,054.32, 6,082.43 and 1,714.55

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Solution

The fourth proportional to 4,054.32, 6,082.43 and 1,714.55 is: 2,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.32 : 6,082.43 = 1,714.55 : x
  2. Step 2: Convert to fraction form
    4,054.32/6,082.43 = 1,714.55/x
  3. Step 3: Cross multiply
    4,054.32x = 6,082.43 × 1,714.55
  4. Step 4: Simplify right side
    4,054.32x = 10,428,591.37
  5. Step 5: Solve for x
    x = 10,428,591.37/4,054.32
  6. Step 6: Final answer
    x = 2,572.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.