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Finding the Fourth Proportional to 5,978.45, 8,966.97 and 1,596.24

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Solution

The fourth proportional to 5,978.45, 8,966.97 and 1,596.24 is: 2,394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.45 : 8,966.97 = 1,596.24 : x
  2. Step 2: Convert to fraction form
    5,978.45/8,966.97 = 1,596.24/x
  3. Step 3: Cross multiply
    5,978.45x = 8,966.97 × 1,596.24
  4. Step 4: Simplify right side
    5,978.45x = 14,313,436.19
  5. Step 5: Solve for x
    x = 14,313,436.19/5,978.45
  6. Step 6: Final answer
    x = 2,394.17

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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.