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Finding the Fourth Proportional to 5,976.07, 8,966.63 and 3,202

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Solution

The fourth proportional to 5,976.07, 8,966.63 and 3,202 is: 4,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.07 : 8,966.63 = 3,202 : x
  2. Step 2: Convert to fraction form
    5,976.07/8,966.63 = 3,202/x
  3. Step 3: Cross multiply
    5,976.07x = 8,966.63 × 3,202
  4. Step 4: Simplify right side
    5,976.07x = 28,711,149.26
  5. Step 5: Solve for x
    x = 28,711,149.26/5,976.07
  6. Step 6: Final answer
    x = 4,804.35

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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.