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Finding the Fourth Proportional to 5,934.64, 8,901.63 and 3,012.87

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Solution

The fourth proportional to 5,934.64, 8,901.63 and 3,012.87 is: 4,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.64 : 8,901.63 = 3,012.87 : x
  2. Step 2: Convert to fraction form
    5,934.64/8,901.63 = 3,012.87/x
  3. Step 3: Cross multiply
    5,934.64x = 8,901.63 × 3,012.87
  4. Step 4: Simplify right side
    5,934.64x = 26,819,453.98
  5. Step 5: Solve for x
    x = 26,819,453.98/5,934.64
  6. Step 6: Final answer
    x = 4,519.14

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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.