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Finding the Fourth Proportional to 3,559.28, 5,339.04 and 962.24

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Solution

The fourth proportional to 3,559.28, 5,339.04 and 962.24 is: 1,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.28 : 5,339.04 = 962.24 : x
  2. Step 2: Convert to fraction form
    3,559.28/5,339.04 = 962.24/x
  3. Step 3: Cross multiply
    3,559.28x = 5,339.04 × 962.24
  4. Step 4: Simplify right side
    3,559.28x = 5,137,437.85
  5. Step 5: Solve for x
    x = 5,137,437.85/3,559.28
  6. Step 6: Final answer
    x = 1,443.39

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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.