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Finding the Fourth Proportional to 5,398.93, 8,089.28 and 3,314.60

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Solution

The fourth proportional to 5,398.93, 8,089.28 and 3,314.60 is: 4,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.93 : 8,089.28 = 3,314.60 : x
  2. Step 2: Convert to fraction form
    5,398.93/8,089.28 = 3,314.60/x
  3. Step 3: Cross multiply
    5,398.93x = 8,089.28 × 3,314.60
  4. Step 4: Simplify right side
    5,398.93x = 26,812,713.23
  5. Step 5: Solve for x
    x = 26,812,713.23/5,398.93
  6. Step 6: Final answer
    x = 4,966.30

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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.