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Finding the Fourth Proportional to 5,801.85, 8,703.27 and 1,853.67

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Solution

The fourth proportional to 5,801.85, 8,703.27 and 1,853.67 is: 2,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.85 : 8,703.27 = 1,853.67 : x
  2. Step 2: Convert to fraction form
    5,801.85/8,703.27 = 1,853.67/x
  3. Step 3: Cross multiply
    5,801.85x = 8,703.27 × 1,853.67
  4. Step 4: Simplify right side
    5,801.85x = 16,132,990.50
  5. Step 5: Solve for x
    x = 16,132,990.50/5,801.85
  6. Step 6: Final answer
    x = 2,780.66

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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.