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Finding the Fourth Proportional to 5,663.04, 8,494.56 and 1,767.78

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Solution

The fourth proportional to 5,663.04, 8,494.56 and 1,767.78 is: 2,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.04 : 8,494.56 = 1,767.78 : x
  2. Step 2: Convert to fraction form
    5,663.04/8,494.56 = 1,767.78/x
  3. Step 3: Cross multiply
    5,663.04x = 8,494.56 × 1,767.78
  4. Step 4: Simplify right side
    5,663.04x = 15,016,513.28
  5. Step 5: Solve for x
    x = 15,016,513.28/5,663.04
  6. Step 6: Final answer
    x = 2,651.67

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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.