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Finding the Fourth Proportional to 6,291.65, 8,682.04 and 3,458.96

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Solution

The fourth proportional to 6,291.65, 8,682.04 and 3,458.96 is: 4,773.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.65 : 8,682.04 = 3,458.96 : x
  2. Step 2: Convert to fraction form
    6,291.65/8,682.04 = 3,458.96/x
  3. Step 3: Cross multiply
    6,291.65x = 8,682.04 × 3,458.96
  4. Step 4: Simplify right side
    6,291.65x = 30,030,829.08
  5. Step 5: Solve for x
    x = 30,030,829.08/6,291.65
  6. Step 6: Final answer
    x = 4,773.12

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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.