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Finding the Fourth Proportional to 6,272.25, 8,655.72 and 3,477.75

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Solution

The fourth proportional to 6,272.25, 8,655.72 and 3,477.75 is: 4,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.25 : 8,655.72 = 3,477.75 : x
  2. Step 2: Convert to fraction form
    6,272.25/8,655.72 = 3,477.75/x
  3. Step 3: Cross multiply
    6,272.25x = 8,655.72 × 3,477.75
  4. Step 4: Simplify right side
    6,272.25x = 30,102,430.23
  5. Step 5: Solve for x
    x = 30,102,430.23/6,272.25
  6. Step 6: Final answer
    x = 4,799.30

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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.