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Finding the Fourth Proportional to 5,497.71, 8,246.85 and 1,602.42

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Solution

The fourth proportional to 5,497.71, 8,246.85 and 1,602.42 is: 2,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.71 : 8,246.85 = 1,602.42 : x
  2. Step 2: Convert to fraction form
    5,497.71/8,246.85 = 1,602.42/x
  3. Step 3: Cross multiply
    5,497.71x = 8,246.85 × 1,602.42
  4. Step 4: Simplify right side
    5,497.71x = 13,214,917.38
  5. Step 5: Solve for x
    x = 13,214,917.38/5,497.71
  6. Step 6: Final answer
    x = 2,403.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.