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Finding the Fourth Proportional to 6,119.76, 8,431.40 and 4,600.56

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Solution

The fourth proportional to 6,119.76, 8,431.40 and 4,600.56 is: 6,338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119.76 : 8,431.40 = 4,600.56 : x
  2. Step 2: Convert to fraction form
    6,119.76/8,431.40 = 4,600.56/x
  3. Step 3: Cross multiply
    6,119.76x = 8,431.40 × 4,600.56
  4. Step 4: Simplify right side
    6,119.76x = 38,789,161.58
  5. Step 5: Solve for x
    x = 38,789,161.58/6,119.76
  6. Step 6: Final answer
    x = 6,338.35

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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.