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Finding the Fourth Proportional to 5,664.70, 8,497.13 and 1,967.00

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Solution

The fourth proportional to 5,664.70, 8,497.13 and 1,967.00 is: 2,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.70 : 8,497.13 = 1,967.00 : x
  2. Step 2: Convert to fraction form
    5,664.70/8,497.13 = 1,967.00/x
  3. Step 3: Cross multiply
    5,664.70x = 8,497.13 × 1,967.00
  4. Step 4: Simplify right side
    5,664.70x = 16,713,866.12
  5. Step 5: Solve for x
    x = 16,713,866.12/5,664.70
  6. Step 6: Final answer
    x = 2,950.53

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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.