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Finding the Fourth Proportional to 4,559.35, 6,836.28 and 1,782.71

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Solution

The fourth proportional to 4,559.35, 6,836.28 and 1,782.71 is: 2,672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.35 : 6,836.28 = 1,782.71 : x
  2. Step 2: Convert to fraction form
    4,559.35/6,836.28 = 1,782.71/x
  3. Step 3: Cross multiply
    4,559.35x = 6,836.28 × 1,782.71
  4. Step 4: Simplify right side
    4,559.35x = 12,187,102.58
  5. Step 5: Solve for x
    x = 12,187,102.58/4,559.35
  6. Step 6: Final answer
    x = 2,672.99

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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.