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Finding the Fourth Proportional to 4,900.32, 6,756.48 and 4,268.52

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Solution

The fourth proportional to 4,900.32, 6,756.48 and 4,268.52 is: 5,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.32 : 6,756.48 = 4,268.52 : x
  2. Step 2: Convert to fraction form
    4,900.32/6,756.48 = 4,268.52/x
  3. Step 3: Cross multiply
    4,900.32x = 6,756.48 × 4,268.52
  4. Step 4: Simplify right side
    4,900.32x = 28,840,170.01
  5. Step 5: Solve for x
    x = 28,840,170.01/4,900.32
  6. Step 6: Final answer
    x = 5,885.36

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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.