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Finding the Fourth Proportional to 5,497.08, 8,246.58 and 2,419

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Solution

The fourth proportional to 5,497.08, 8,246.58 and 2,419 is: 3,628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.08 : 8,246.58 = 2,419 : x
  2. Step 2: Convert to fraction form
    5,497.08/8,246.58 = 2,419/x
  3. Step 3: Cross multiply
    5,497.08x = 8,246.58 × 2,419
  4. Step 4: Simplify right side
    5,497.08x = 19,948,477.02
  5. Step 5: Solve for x
    x = 19,948,477.02/5,497.08
  6. Step 6: Final answer
    x = 3,628.92

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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.