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Finding the Fourth Proportional to 3,776, 5,666.56 and 1,344

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Solution

The fourth proportional to 3,776, 5,666.56 and 1,344 is: 2,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776 : 5,666.56 = 1,344 : x
  2. Step 2: Convert to fraction form
    3,776/5,666.56 = 1,344/x
  3. Step 3: Cross multiply
    3,776x = 5,666.56 × 1,344
  4. Step 4: Simplify right side
    3,776x = 7,615,856.64
  5. Step 5: Solve for x
    x = 7,615,856.64/3,776
  6. Step 6: Final answer
    x = 2,016.91

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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.