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Finding the Fourth Proportional to 5,997.65, 8,276.51 and 3,345.00

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Solution

The fourth proportional to 5,997.65, 8,276.51 and 3,345.00 is: 4,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.65 : 8,276.51 = 3,345.00 : x
  2. Step 2: Convert to fraction form
    5,997.65/8,276.51 = 3,345.00/x
  3. Step 3: Cross multiply
    5,997.65x = 8,276.51 × 3,345.00
  4. Step 4: Simplify right side
    5,997.65x = 27,684,903.28
  5. Step 5: Solve for x
    x = 27,684,903.28/5,997.65
  6. Step 6: Final answer
    x = 4,615.96

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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.