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Finding the Fourth Proportional to 4,384.67, 6,573.09 and 1,610.70

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Solution

The fourth proportional to 4,384.67, 6,573.09 and 1,610.70 is: 2,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.67 : 6,573.09 = 1,610.70 : x
  2. Step 2: Convert to fraction form
    4,384.67/6,573.09 = 1,610.70/x
  3. Step 3: Cross multiply
    4,384.67x = 6,573.09 × 1,610.70
  4. Step 4: Simplify right side
    4,384.67x = 10,587,248.39
  5. Step 5: Solve for x
    x = 10,587,248.39/4,384.67
  6. Step 6: Final answer
    x = 2,414.61

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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.