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Finding the Fourth Proportional to 3,483.16, 5,224.48 and 1,634.70

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Solution

The fourth proportional to 3,483.16, 5,224.48 and 1,634.70 is: 2,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.16 : 5,224.48 = 1,634.70 : x
  2. Step 2: Convert to fraction form
    3,483.16/5,224.48 = 1,634.70/x
  3. Step 3: Cross multiply
    3,483.16x = 5,224.48 × 1,634.70
  4. Step 4: Simplify right side
    3,483.16x = 8,540,457.46
  5. Step 5: Solve for x
    x = 8,540,457.46/3,483.16
  6. Step 6: Final answer
    x = 2,451.93

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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.