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Finding the Fourth Proportional to 6,272.81, 8,656.86 and 3,478.31

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Solution

The fourth proportional to 6,272.81, 8,656.86 and 3,478.31 is: 4,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.81 : 8,656.86 = 3,478.31 : x
  2. Step 2: Convert to fraction form
    6,272.81/8,656.86 = 3,478.31/x
  3. Step 3: Cross multiply
    6,272.81x = 8,656.86 × 3,478.31
  4. Step 4: Simplify right side
    6,272.81x = 30,111,182.03
  5. Step 5: Solve for x
    x = 30,111,182.03/6,272.81
  6. Step 6: Final answer
    x = 4,800.27

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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.