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Finding the Fourth Proportional to 4,207.88, 6,312.94 and 3,748.82

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Solution

The fourth proportional to 4,207.88, 6,312.94 and 3,748.82 is: 5,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.88 : 6,312.94 = 3,748.82 : x
  2. Step 2: Convert to fraction form
    4,207.88/6,312.94 = 3,748.82/x
  3. Step 3: Cross multiply
    4,207.88x = 6,312.94 × 3,748.82
  4. Step 4: Simplify right side
    4,207.88x = 23,666,034.79
  5. Step 5: Solve for x
    x = 23,666,034.79/4,207.88
  6. Step 6: Final answer
    x = 5,624.21

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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.