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Finding the Fourth Proportional to 3,199.34, 4,802.25 and 2,275.94

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Solution

The fourth proportional to 3,199.34, 4,802.25 and 2,275.94 is: 3,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.34 : 4,802.25 = 2,275.94 : x
  2. Step 2: Convert to fraction form
    3,199.34/4,802.25 = 2,275.94/x
  3. Step 3: Cross multiply
    3,199.34x = 4,802.25 × 2,275.94
  4. Step 4: Simplify right side
    3,199.34x = 10,929,632.87
  5. Step 5: Solve for x
    x = 10,929,632.87/3,199.34
  6. Step 6: Final answer
    x = 3,416.21

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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.