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Finding the Fourth Proportional to 3,189.52, 4,756.37 and 3,160.36

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Solution

The fourth proportional to 3,189.52, 4,756.37 and 3,160.36 is: 4,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.52 : 4,756.37 = 3,160.36 : x
  2. Step 2: Convert to fraction form
    3,189.52/4,756.37 = 3,160.36/x
  3. Step 3: Cross multiply
    3,189.52x = 4,756.37 × 3,160.36
  4. Step 4: Simplify right side
    3,189.52x = 15,031,841.49
  5. Step 5: Solve for x
    x = 15,031,841.49/3,189.52
  6. Step 6: Final answer
    x = 4,712.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.