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Finding the Fourth Proportional to 4,641.93, 6,406.16 and 2,546.06

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Solution

The fourth proportional to 4,641.93, 6,406.16 and 2,546.06 is: 3,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.93 : 6,406.16 = 2,546.06 : x
  2. Step 2: Convert to fraction form
    4,641.93/6,406.16 = 2,546.06/x
  3. Step 3: Cross multiply
    4,641.93x = 6,406.16 × 2,546.06
  4. Step 4: Simplify right side
    4,641.93x = 16,310,422.97
  5. Step 5: Solve for x
    x = 16,310,422.97/4,641.93
  6. Step 6: Final answer
    x = 3,513.72

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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.