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Finding the Fourth Proportional to 5,782.99, 8,674.03 and 1,622.83

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Solution

The fourth proportional to 5,782.99, 8,674.03 and 1,622.83 is: 2,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.99 : 8,674.03 = 1,622.83 : x
  2. Step 2: Convert to fraction form
    5,782.99/8,674.03 = 1,622.83/x
  3. Step 3: Cross multiply
    5,782.99x = 8,674.03 × 1,622.83
  4. Step 4: Simplify right side
    5,782.99x = 14,076,440.18
  5. Step 5: Solve for x
    x = 14,076,440.18/5,782.99
  6. Step 6: Final answer
    x = 2,434.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.