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Finding the Fourth Proportional to 4,523.58, 6,780.53 and 1,890.41

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Solution

The fourth proportional to 4,523.58, 6,780.53 and 1,890.41 is: 2,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.58 : 6,780.53 = 1,890.41 : x
  2. Step 2: Convert to fraction form
    4,523.58/6,780.53 = 1,890.41/x
  3. Step 3: Cross multiply
    4,523.58x = 6,780.53 × 1,890.41
  4. Step 4: Simplify right side
    4,523.58x = 12,817,981.72
  5. Step 5: Solve for x
    x = 12,817,981.72/4,523.58
  6. Step 6: Final answer
    x = 2,833.59

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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.