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Finding the Fourth Proportional to 3,546.63, 4,898.61 and 2,886.08

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Solution

The fourth proportional to 3,546.63, 4,898.61 and 2,886.08 is: 3,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.63 : 4,898.61 = 2,886.08 : x
  2. Step 2: Convert to fraction form
    3,546.63/4,898.61 = 2,886.08/x
  3. Step 3: Cross multiply
    3,546.63x = 4,898.61 × 2,886.08
  4. Step 4: Simplify right side
    3,546.63x = 14,137,755.86
  5. Step 5: Solve for x
    x = 14,137,755.86/3,546.63
  6. Step 6: Final answer
    x = 3,986.25

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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.