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Finding the Fourth Proportional to 5,782.86, 8,673.57 and 1,623.20

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Solution

The fourth proportional to 5,782.86, 8,673.57 and 1,623.20 is: 2,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.86 : 8,673.57 = 1,623.20 : x
  2. Step 2: Convert to fraction form
    5,782.86/8,673.57 = 1,623.20/x
  3. Step 3: Cross multiply
    5,782.86x = 8,673.57 × 1,623.20
  4. Step 4: Simplify right side
    5,782.86x = 14,078,895.46
  5. Step 5: Solve for x
    x = 14,078,895.46/5,782.86
  6. Step 6: Final answer
    x = 2,434.59

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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.