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Finding the Fourth Proportional to 5,783.34, 8,676.31 and 1,834.83

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Solution

The fourth proportional to 5,783.34, 8,676.31 and 1,834.83 is: 2,752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.34 : 8,676.31 = 1,834.83 : x
  2. Step 2: Convert to fraction form
    5,783.34/8,676.31 = 1,834.83/x
  3. Step 3: Cross multiply
    5,783.34x = 8,676.31 × 1,834.83
  4. Step 4: Simplify right side
    5,783.34x = 15,919,579.71
  5. Step 5: Solve for x
    x = 15,919,579.71/5,783.34
  6. Step 6: Final answer
    x = 2,752.66

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1.5x scale

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.