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Finding the Fourth Proportional to 6,423.44, 8,864.52 and 3,628.88

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Solution

The fourth proportional to 6,423.44, 8,864.52 and 3,628.88 is: 5,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.44 : 8,864.52 = 3,628.88 : x
  2. Step 2: Convert to fraction form
    6,423.44/8,864.52 = 3,628.88/x
  3. Step 3: Cross multiply
    6,423.44x = 8,864.52 × 3,628.88
  4. Step 4: Simplify right side
    6,423.44x = 32,168,279.34
  5. Step 5: Solve for x
    x = 32,168,279.34/6,423.44
  6. Step 6: Final answer
    x = 5,007.95

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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.