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Finding the Fourth Proportional to 5,970.63, 8,960.61 and 4,134.62

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Solution

The fourth proportional to 5,970.63, 8,960.61 and 4,134.62 is: 6,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.63 : 8,960.61 = 4,134.62 : x
  2. Step 2: Convert to fraction form
    5,970.63/8,960.61 = 4,134.62/x
  3. Step 3: Cross multiply
    5,970.63x = 8,960.61 × 4,134.62
  4. Step 4: Simplify right side
    5,970.63x = 37,048,672.52
  5. Step 5: Solve for x
    x = 37,048,672.52/5,970.63
  6. Step 6: Final answer
    x = 6,205.15

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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.