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Finding the Fourth Proportional to 5,814.99, 8,024.83 and 3,297.00

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Solution

The fourth proportional to 5,814.99, 8,024.83 and 3,297.00 is: 4,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.99 : 8,024.83 = 3,297.00 : x
  2. Step 2: Convert to fraction form
    5,814.99/8,024.83 = 3,297.00/x
  3. Step 3: Cross multiply
    5,814.99x = 8,024.83 × 3,297.00
  4. Step 4: Simplify right side
    5,814.99x = 26,457,909.54
  5. Step 5: Solve for x
    x = 26,457,909.54/5,814.99
  6. Step 6: Final answer
    x = 4,549.95

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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.