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Finding the Fourth Proportional to 6,214.58, 8,573.23 and 3,695.28

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Solution

The fourth proportional to 6,214.58, 8,573.23 and 3,695.28 is: 5,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.58 : 8,573.23 = 3,695.28 : x
  2. Step 2: Convert to fraction form
    6,214.58/8,573.23 = 3,695.28/x
  3. Step 3: Cross multiply
    6,214.58x = 8,573.23 × 3,695.28
  4. Step 4: Simplify right side
    6,214.58x = 31,680,433.25
  5. Step 5: Solve for x
    x = 31,680,433.25/6,214.58
  6. Step 6: Final answer
    x = 5,097.76

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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.