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Finding the Fourth Proportional to 3,750.65, 5,623.12 and 2,269.56

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Solution

The fourth proportional to 3,750.65, 5,623.12 and 2,269.56 is: 3,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.65 : 5,623.12 = 2,269.56 : x
  2. Step 2: Convert to fraction form
    3,750.65/5,623.12 = 2,269.56/x
  3. Step 3: Cross multiply
    3,750.65x = 5,623.12 × 2,269.56
  4. Step 4: Simplify right side
    3,750.65x = 12,762,008.23
  5. Step 5: Solve for x
    x = 12,762,008.23/3,750.65
  6. Step 6: Final answer
    x = 3,402.61

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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.