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Finding the Fourth Proportional to 3,672.64, 5,068.35 and 1,994.16

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Solution

The fourth proportional to 3,672.64, 5,068.35 and 1,994.16 is: 2,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.64 : 5,068.35 = 1,994.16 : x
  2. Step 2: Convert to fraction form
    3,672.64/5,068.35 = 1,994.16/x
  3. Step 3: Cross multiply
    3,672.64x = 5,068.35 × 1,994.16
  4. Step 4: Simplify right side
    3,672.64x = 10,107,091.22
  5. Step 5: Solve for x
    x = 10,107,091.22/3,672.64
  6. Step 6: Final answer
    x = 2,752.00

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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.