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Finding the Fourth Proportional to 3,212.64, 4,422.96 and 2,746.08

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Solution

The fourth proportional to 3,212.64, 4,422.96 and 2,746.08 is: 3,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.64 : 4,422.96 = 2,746.08 : x
  2. Step 2: Convert to fraction form
    3,212.64/4,422.96 = 2,746.08/x
  3. Step 3: Cross multiply
    3,212.64x = 4,422.96 × 2,746.08
  4. Step 4: Simplify right side
    3,212.64x = 12,145,802.00
  5. Step 5: Solve for x
    x = 12,145,802.00/3,212.64
  6. Step 6: Final answer
    x = 3,780.63

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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.