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Finding the Fourth Proportional to 4,682.94, 6,462.90 and 2,587.07

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Solution

The fourth proportional to 4,682.94, 6,462.90 and 2,587.07 is: 3,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.94 : 6,462.90 = 2,587.07 : x
  2. Step 2: Convert to fraction form
    4,682.94/6,462.90 = 2,587.07/x
  3. Step 3: Cross multiply
    4,682.94x = 6,462.90 × 2,587.07
  4. Step 4: Simplify right side
    4,682.94x = 16,719,942.39
  5. Step 5: Solve for x
    x = 16,719,942.39/4,682.94
  6. Step 6: Final answer
    x = 3,570.39

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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.