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Finding the Fourth Proportional to 3,559.76, 5,339.44 and 962.52

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Solution

The fourth proportional to 3,559.76, 5,339.44 and 962.52 is: 1,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.76 : 5,339.44 = 962.52 : x
  2. Step 2: Convert to fraction form
    3,559.76/5,339.44 = 962.52/x
  3. Step 3: Cross multiply
    3,559.76x = 5,339.44 × 962.52
  4. Step 4: Simplify right side
    3,559.76x = 5,139,317.79
  5. Step 5: Solve for x
    x = 5,139,317.79/3,559.76
  6. Step 6: Final answer
    x = 1,443.73

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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.