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Finding the Fourth Proportional to 4,642.66, 6,407.16 and 2,546.80

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Solution

The fourth proportional to 4,642.66, 6,407.16 and 2,546.80 is: 3,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.66 : 6,407.16 = 2,546.80 : x
  2. Step 2: Convert to fraction form
    4,642.66/6,407.16 = 2,546.80/x
  3. Step 3: Cross multiply
    4,642.66x = 6,407.16 × 2,546.80
  4. Step 4: Simplify right side
    4,642.66x = 16,317,755.09
  5. Step 5: Solve for x
    x = 16,317,755.09/4,642.66
  6. Step 6: Final answer
    x = 3,514.74

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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.