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Finding the Fourth Proportional to 3,582.16, 5,372.50 and 1,633.90

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Solution

The fourth proportional to 3,582.16, 5,372.50 and 1,633.90 is: 2,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.16 : 5,372.50 = 1,633.90 : x
  2. Step 2: Convert to fraction form
    3,582.16/5,372.50 = 1,633.90/x
  3. Step 3: Cross multiply
    3,582.16x = 5,372.50 × 1,633.90
  4. Step 4: Simplify right side
    3,582.16x = 8,778,127.75
  5. Step 5: Solve for x
    x = 8,778,127.75/3,582.16
  6. Step 6: Final answer
    x = 2,450.51

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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.