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Finding the Fourth Proportional to 3,775.90, 5,663.70 and 1,311.28

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Solution

The fourth proportional to 3,775.90, 5,663.70 and 1,311.28 is: 1,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.90 : 5,663.70 = 1,311.28 : x
  2. Step 2: Convert to fraction form
    3,775.90/5,663.70 = 1,311.28/x
  3. Step 3: Cross multiply
    3,775.90x = 5,663.70 × 1,311.28
  4. Step 4: Simplify right side
    3,775.90x = 7,426,696.54
  5. Step 5: Solve for x
    x = 7,426,696.54/3,775.90
  6. Step 6: Final answer
    x = 1,966.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.