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Finding the Fourth Proportional to 5,797.17, 8,695.35 and 2,098.71

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Solution

The fourth proportional to 5,797.17, 8,695.35 and 2,098.71 is: 3,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.17 : 8,695.35 = 2,098.71 : x
  2. Step 2: Convert to fraction form
    5,797.17/8,695.35 = 2,098.71/x
  3. Step 3: Cross multiply
    5,797.17x = 8,695.35 × 2,098.71
  4. Step 4: Simplify right side
    5,797.17x = 18,249,018.00
  5. Step 5: Solve for x
    x = 18,249,018.00/5,797.17
  6. Step 6: Final answer
    x = 3,147.92

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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.