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Finding the Fourth Proportional to 4,684.52, 6,464.58 and 2,769.86

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Solution

The fourth proportional to 4,684.52, 6,464.58 and 2,769.86 is: 3,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.52 : 6,464.58 = 2,769.86 : x
  2. Step 2: Convert to fraction form
    4,684.52/6,464.58 = 2,769.86/x
  3. Step 3: Cross multiply
    4,684.52x = 6,464.58 × 2,769.86
  4. Step 4: Simplify right side
    4,684.52x = 17,905,981.56
  5. Step 5: Solve for x
    x = 17,905,981.56/4,684.52
  6. Step 6: Final answer
    x = 3,822.37

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