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Finding the Fourth Proportional to 5,129.40, 7,694.10 and 1,666.65

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Solution

The fourth proportional to 5,129.40, 7,694.10 and 1,666.65 is: 2,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.40 : 7,694.10 = 1,666.65 : x
  2. Step 2: Convert to fraction form
    5,129.40/7,694.10 = 1,666.65/x
  3. Step 3: Cross multiply
    5,129.40x = 7,694.10 × 1,666.65
  4. Step 4: Simplify right side
    5,129.40x = 12,823,371.77
  5. Step 5: Solve for x
    x = 12,823,371.77/5,129.40
  6. Step 6: Final answer
    x = 2,499.98

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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.