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Finding the Fourth Proportional to 4,403.76, 6,078.60 and 2,912.64

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Solution

The fourth proportional to 4,403.76, 6,078.60 and 2,912.64 is: 4,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,403.76 : 6,078.60 = 2,912.64 : x
  2. Step 2: Convert to fraction form
    4,403.76/6,078.60 = 2,912.64/x
  3. Step 3: Cross multiply
    4,403.76x = 6,078.60 × 2,912.64
  4. Step 4: Simplify right side
    4,403.76x = 17,704,773.50
  5. Step 5: Solve for x
    x = 17,704,773.50/4,403.76
  6. Step 6: Final answer
    x = 4,020.38

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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.