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Finding the Fourth Proportional to 6,335.80, 8,725.26 and 4,564.60

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Solution

The fourth proportional to 6,335.80, 8,725.26 and 4,564.60 is: 6,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.80 : 8,725.26 = 4,564.60 : x
  2. Step 2: Convert to fraction form
    6,335.80/8,725.26 = 4,564.60/x
  3. Step 3: Cross multiply
    6,335.80x = 8,725.26 × 4,564.60
  4. Step 4: Simplify right side
    6,335.80x = 39,827,321.80
  5. Step 5: Solve for x
    x = 39,827,321.80/6,335.80
  6. Step 6: Final answer
    x = 6,286.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.