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Finding the Fourth Proportional to 3,621.69, 5,432.54 and 1,024.56

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Solution

The fourth proportional to 3,621.69, 5,432.54 and 1,024.56 is: 1,536.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,621.69 : 5,432.54 = 1,024.56 : x
  2. Step 2: Convert to fraction form
    3,621.69/5,432.54 = 1,024.56/x
  3. Step 3: Cross multiply
    3,621.69x = 5,432.54 × 1,024.56
  4. Step 4: Simplify right side
    3,621.69x = 5,565,958.06
  5. Step 5: Solve for x
    x = 5,565,958.06/3,621.69
  6. Step 6: Final answer
    x = 1,536.84

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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.