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Finding the Fourth Proportional to 5,004.68, 6,903.68 and 3,014.01

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Solution

The fourth proportional to 5,004.68, 6,903.68 and 3,014.01 is: 4,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.68 : 6,903.68 = 3,014.01 : x
  2. Step 2: Convert to fraction form
    5,004.68/6,903.68 = 3,014.01/x
  3. Step 3: Cross multiply
    5,004.68x = 6,903.68 × 3,014.01
  4. Step 4: Simplify right side
    5,004.68x = 20,807,745.49
  5. Step 5: Solve for x
    x = 20,807,745.49/5,004.68
  6. Step 6: Final answer
    x = 4,157.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.