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Finding the Fourth Proportional to 5,782.34, 8,674.89 and 1,886.75

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Solution

The fourth proportional to 5,782.34, 8,674.89 and 1,886.75 is: 2,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.34 : 8,674.89 = 1,886.75 : x
  2. Step 2: Convert to fraction form
    5,782.34/8,674.89 = 1,886.75/x
  3. Step 3: Cross multiply
    5,782.34x = 8,674.89 × 1,886.75
  4. Step 4: Simplify right side
    5,782.34x = 16,367,348.71
  5. Step 5: Solve for x
    x = 16,367,348.71/5,782.34
  6. Step 6: Final answer
    x = 2,830.58

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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.