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Finding the Fourth Proportional to 5,395.17, 8,089.71 and 1,646.30

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Solution

The fourth proportional to 5,395.17, 8,089.71 and 1,646.30 is: 2,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.17 : 8,089.71 = 1,646.30 : x
  2. Step 2: Convert to fraction form
    5,395.17/8,089.71 = 1,646.30/x
  3. Step 3: Cross multiply
    5,395.17x = 8,089.71 × 1,646.30
  4. Step 4: Simplify right side
    5,395.17x = 13,318,049.12
  5. Step 5: Solve for x
    x = 13,318,049.12/5,395.17
  6. Step 6: Final answer
    x = 2,468.51

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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.