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Finding the Fourth Proportional to 3,559.52, 5,338.87 and 962.25

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Solution

The fourth proportional to 3,559.52, 5,338.87 and 962.25 is: 1,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.52 : 5,338.87 = 962.25 : x
  2. Step 2: Convert to fraction form
    3,559.52/5,338.87 = 962.25/x
  3. Step 3: Cross multiply
    3,559.52x = 5,338.87 × 962.25
  4. Step 4: Simplify right side
    3,559.52x = 5,137,325.25
  5. Step 5: Solve for x
    x = 5,137,325.25/3,559.52
  6. Step 6: Final answer
    x = 1,443.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.