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Finding the Fourth Proportional to 4,684.79, 6,464.05 and 2,795.77

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Solution

The fourth proportional to 4,684.79, 6,464.05 and 2,795.77 is: 3,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.79 : 6,464.05 = 2,795.77 : x
  2. Step 2: Convert to fraction form
    4,684.79/6,464.05 = 2,795.77/x
  3. Step 3: Cross multiply
    4,684.79x = 6,464.05 × 2,795.77
  4. Step 4: Simplify right side
    4,684.79x = 18,071,964.75
  5. Step 5: Solve for x
    x = 18,071,964.75/4,684.79
  6. Step 6: Final answer
    x = 3,857.59

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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.