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Finding the Fourth Proportional to 6,293.64, 8,685.20 and 3,499.14

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Solution

The fourth proportional to 6,293.64, 8,685.20 and 3,499.14 is: 4,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.64 : 8,685.20 = 3,499.14 : x
  2. Step 2: Convert to fraction form
    6,293.64/8,685.20 = 3,499.14/x
  3. Step 3: Cross multiply
    6,293.64x = 8,685.20 × 3,499.14
  4. Step 4: Simplify right side
    6,293.64x = 30,390,730.73
  5. Step 5: Solve for x
    x = 30,390,730.73/6,293.64
  6. Step 6: Final answer
    x = 4,828.80

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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.