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Finding the Fourth Proportional to 5,998.12, 8,276.46 and 3,345.40

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Solution

The fourth proportional to 5,998.12, 8,276.46 and 3,345.40 is: 4,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.12 : 8,276.46 = 3,345.40 : x
  2. Step 2: Convert to fraction form
    5,998.12/8,276.46 = 3,345.40/x
  3. Step 3: Cross multiply
    5,998.12x = 8,276.46 × 3,345.40
  4. Step 4: Simplify right side
    5,998.12x = 27,688,069.28
  5. Step 5: Solve for x
    x = 27,688,069.28/5,998.12
  6. Step 6: Final answer
    x = 4,616.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.