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Finding the Fourth Proportional to 6,276.56, 8,656.83 and 4,597.34

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Solution

The fourth proportional to 6,276.56, 8,656.83 and 4,597.34 is: 6,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.56 : 8,656.83 = 4,597.34 : x
  2. Step 2: Convert to fraction form
    6,276.56/8,656.83 = 4,597.34/x
  3. Step 3: Cross multiply
    6,276.56x = 8,656.83 × 4,597.34
  4. Step 4: Simplify right side
    6,276.56x = 39,798,347.55
  5. Step 5: Solve for x
    x = 39,798,347.55/6,276.56
  6. Step 6: Final answer
    x = 6,340.79

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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.