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Finding the Fourth Proportional to 3,472.65, 5,199.39 and 1,825.65

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Solution

The fourth proportional to 3,472.65, 5,199.39 and 1,825.65 is: 2,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.65 : 5,199.39 = 1,825.65 : x
  2. Step 2: Convert to fraction form
    3,472.65/5,199.39 = 1,825.65/x
  3. Step 3: Cross multiply
    3,472.65x = 5,199.39 × 1,825.65
  4. Step 4: Simplify right side
    3,472.65x = 9,492,266.35
  5. Step 5: Solve for x
    x = 9,492,266.35/3,472.65
  6. Step 6: Final answer
    x = 2,733.44

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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.