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Finding the Fourth Proportional to 6,291.60, 8,682.36 and 3,458.96

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Solution

The fourth proportional to 6,291.60, 8,682.36 and 3,458.96 is: 4,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.60 : 8,682.36 = 3,458.96 : x
  2. Step 2: Convert to fraction form
    6,291.60/8,682.36 = 3,458.96/x
  3. Step 3: Cross multiply
    6,291.60x = 8,682.36 × 3,458.96
  4. Step 4: Simplify right side
    6,291.60x = 30,031,935.95
  5. Step 5: Solve for x
    x = 30,031,935.95/6,291.60
  6. Step 6: Final answer
    x = 4,773.34

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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.