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Finding the Fourth Proportional to 4,679.94, 7,014.51 and 1,756.38

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Solution

The fourth proportional to 4,679.94, 7,014.51 and 1,756.38 is: 2,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.94 : 7,014.51 = 1,756.38 : x
  2. Step 2: Convert to fraction form
    4,679.94/7,014.51 = 1,756.38/x
  3. Step 3: Cross multiply
    4,679.94x = 7,014.51 × 1,756.38
  4. Step 4: Simplify right side
    4,679.94x = 12,320,145.07
  5. Step 5: Solve for x
    x = 12,320,145.07/4,679.94
  6. Step 6: Final answer
    x = 2,632.54

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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.