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Finding the Fourth Proportional to 4,330.44, 6,497.02 and 2,384

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Solution

The fourth proportional to 4,330.44, 6,497.02 and 2,384 is: 3,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.44 : 6,497.02 = 2,384 : x
  2. Step 2: Convert to fraction form
    4,330.44/6,497.02 = 2,384/x
  3. Step 3: Cross multiply
    4,330.44x = 6,497.02 × 2,384
  4. Step 4: Simplify right side
    4,330.44x = 15,488,895.68
  5. Step 5: Solve for x
    x = 15,488,895.68/4,330.44
  6. Step 6: Final answer
    x = 3,576.75

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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.