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Finding the Fourth Proportional to 6,357.60, 8,772.60 and 3,669.60

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Solution

The fourth proportional to 6,357.60, 8,772.60 and 3,669.60 is: 5,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.60 : 8,772.60 = 3,669.60 : x
  2. Step 2: Convert to fraction form
    6,357.60/8,772.60 = 3,669.60/x
  3. Step 3: Cross multiply
    6,357.60x = 8,772.60 × 3,669.60
  4. Step 4: Simplify right side
    6,357.60x = 32,191,932.96
  5. Step 5: Solve for x
    x = 32,191,932.96/6,357.60
  6. Step 6: Final answer
    x = 5,063.54

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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.