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Finding the Fourth Proportional to 4,642.54, 6,406.86 and 2,546.71

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Solution

The fourth proportional to 4,642.54, 6,406.86 and 2,546.71 is: 3,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.54 : 6,406.86 = 2,546.71 : x
  2. Step 2: Convert to fraction form
    4,642.54/6,406.86 = 2,546.71/x
  3. Step 3: Cross multiply
    4,642.54x = 6,406.86 × 2,546.71
  4. Step 4: Simplify right side
    4,642.54x = 16,316,414.43
  5. Step 5: Solve for x
    x = 16,316,414.43/4,642.54
  6. Step 6: Final answer
    x = 3,514.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.