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Finding the Fourth Proportional to 5,146.08, 7,719.84 and 1,682.64

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Solution

The fourth proportional to 5,146.08, 7,719.84 and 1,682.64 is: 2,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.08 : 7,719.84 = 1,682.64 : x
  2. Step 2: Convert to fraction form
    5,146.08/7,719.84 = 1,682.64/x
  3. Step 3: Cross multiply
    5,146.08x = 7,719.84 × 1,682.64
  4. Step 4: Simplify right side
    5,146.08x = 12,989,711.58
  5. Step 5: Solve for x
    x = 12,989,711.58/5,146.08
  6. Step 6: Final answer
    x = 2,524.20

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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.