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Finding the Fourth Proportional to 4,780.68, 6,596.64 and 2,763.28

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Solution

The fourth proportional to 4,780.68, 6,596.64 and 2,763.28 is: 3,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.68 : 6,596.64 = 2,763.28 : x
  2. Step 2: Convert to fraction form
    4,780.68/6,596.64 = 2,763.28/x
  3. Step 3: Cross multiply
    4,780.68x = 6,596.64 × 2,763.28
  4. Step 4: Simplify right side
    4,780.68x = 18,228,363.38
  5. Step 5: Solve for x
    x = 18,228,363.38/4,780.68
  6. Step 6: Final answer
    x = 3,812.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.