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Finding the Fourth Proportional to 3,559.70, 5,339.64 and 962.63

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Solution

The fourth proportional to 3,559.70, 5,339.64 and 962.63 is: 1,443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.70 : 5,339.64 = 962.63 : x
  2. Step 2: Convert to fraction form
    3,559.70/5,339.64 = 962.63/x
  3. Step 3: Cross multiply
    3,559.70x = 5,339.64 × 962.63
  4. Step 4: Simplify right side
    3,559.70x = 5,140,070.96
  5. Step 5: Solve for x
    x = 5,140,070.96/3,559.70
  6. Step 6: Final answer
    x = 1,443.96

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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.