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Finding the Fourth Proportional to 4,763.70, 6,573.90 and 2,667.84

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Solution

The fourth proportional to 4,763.70, 6,573.90 and 2,667.84 is: 3,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.70 : 6,573.90 = 2,667.84 : x
  2. Step 2: Convert to fraction form
    4,763.70/6,573.90 = 2,667.84/x
  3. Step 3: Cross multiply
    4,763.70x = 6,573.90 × 2,667.84
  4. Step 4: Simplify right side
    4,763.70x = 17,538,113.38
  5. Step 5: Solve for x
    x = 17,538,113.38/4,763.70
  6. Step 6: Final answer
    x = 3,681.62

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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.