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Finding the Fourth Proportional to 3,244.96, 4,864.88 and 2,894.24

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Solution

The fourth proportional to 3,244.96, 4,864.88 and 2,894.24 is: 4,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.96 : 4,864.88 = 2,894.24 : x
  2. Step 2: Convert to fraction form
    3,244.96/4,864.88 = 2,894.24/x
  3. Step 3: Cross multiply
    3,244.96x = 4,864.88 × 2,894.24
  4. Step 4: Simplify right side
    3,244.96x = 14,080,130.29
  5. Step 5: Solve for x
    x = 14,080,130.29/3,244.96
  6. Step 6: Final answer
    x = 4,339.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.