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Finding the Fourth Proportional to 3,814.97, 5,720.62 and 1,622.51

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Solution

The fourth proportional to 3,814.97, 5,720.62 and 1,622.51 is: 2,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.97 : 5,720.62 = 1,622.51 : x
  2. Step 2: Convert to fraction form
    3,814.97/5,720.62 = 1,622.51/x
  3. Step 3: Cross multiply
    3,814.97x = 5,720.62 × 1,622.51
  4. Step 4: Simplify right side
    3,814.97x = 9,281,730.50
  5. Step 5: Solve for x
    x = 9,281,730.50/3,814.97
  6. Step 6: Final answer
    x = 2,432.98

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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.