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Finding the Fourth Proportional to 3,582.42, 5,372 and 1,116.52

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Solution

The fourth proportional to 3,582.42, 5,372 and 1,116.52 is: 1,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.42 : 5,372 = 1,116.52 : x
  2. Step 2: Convert to fraction form
    3,582.42/5,372 = 1,116.52/x
  3. Step 3: Cross multiply
    3,582.42x = 5,372 × 1,116.52
  4. Step 4: Simplify right side
    3,582.42x = 5,997,945.44
  5. Step 5: Solve for x
    x = 5,997,945.44/3,582.42
  6. Step 6: Final answer
    x = 1,674.27

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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.