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Finding the Fourth Proportional to 3,219.52, 4,824.54 and 1,438.42

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Solution

The fourth proportional to 3,219.52, 4,824.54 and 1,438.42 is: 2,155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.52 : 4,824.54 = 1,438.42 : x
  2. Step 2: Convert to fraction form
    3,219.52/4,824.54 = 1,438.42/x
  3. Step 3: Cross multiply
    3,219.52x = 4,824.54 × 1,438.42
  4. Step 4: Simplify right side
    3,219.52x = 6,939,714.83
  5. Step 5: Solve for x
    x = 6,939,714.83/3,219.52
  6. Step 6: Final answer
    x = 2,155.51

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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.