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Finding the Fourth Proportional to 4,685.52, 7,029.29 and 1,763.82

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Solution

The fourth proportional to 4,685.52, 7,029.29 and 1,763.82 is: 2,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.52 : 7,029.29 = 1,763.82 : x
  2. Step 2: Convert to fraction form
    4,685.52/7,029.29 = 1,763.82/x
  3. Step 3: Cross multiply
    4,685.52x = 7,029.29 × 1,763.82
  4. Step 4: Simplify right side
    4,685.52x = 12,398,406.70
  5. Step 5: Solve for x
    x = 12,398,406.70/4,685.52
  6. Step 6: Final answer
    x = 2,646.11

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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.