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Finding the Fourth Proportional to 5,782.42, 8,674.68 and 1,834.66

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Solution

The fourth proportional to 5,782.42, 8,674.68 and 1,834.66 is: 2,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.42 : 8,674.68 = 1,834.66 : x
  2. Step 2: Convert to fraction form
    5,782.42/8,674.68 = 1,834.66/x
  3. Step 3: Cross multiply
    5,782.42x = 8,674.68 × 1,834.66
  4. Step 4: Simplify right side
    5,782.42x = 15,915,088.41
  5. Step 5: Solve for x
    x = 15,915,088.41/5,782.42
  6. Step 6: Final answer
    x = 2,752.32

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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.