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Finding the Fourth Proportional to 3,795.92, 5,696.45 and 1,330.76

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Solution

The fourth proportional to 3,795.92, 5,696.45 and 1,330.76 is: 1,997.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.92 : 5,696.45 = 1,330.76 : x
  2. Step 2: Convert to fraction form
    3,795.92/5,696.45 = 1,330.76/x
  3. Step 3: Cross multiply
    3,795.92x = 5,696.45 × 1,330.76
  4. Step 4: Simplify right side
    3,795.92x = 7,580,607.80
  5. Step 5: Solve for x
    x = 7,580,607.80/3,795.92
  6. Step 6: Final answer
    x = 1,997.04

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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.