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Finding the Fourth Proportional to 5,785.22, 7,980.56 and 3,393.56

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Solution

The fourth proportional to 5,785.22, 7,980.56 and 3,393.56 is: 4,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.22 : 7,980.56 = 3,393.56 : x
  2. Step 2: Convert to fraction form
    5,785.22/7,980.56 = 3,393.56/x
  3. Step 3: Cross multiply
    5,785.22x = 7,980.56 × 3,393.56
  4. Step 4: Simplify right side
    5,785.22x = 27,082,509.19
  5. Step 5: Solve for x
    x = 27,082,509.19/5,785.22
  6. Step 6: Final answer
    x = 4,681.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.