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Finding the Fourth Proportional to 5,696.34, 8,544.21 and 4,023.59

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Solution

The fourth proportional to 5,696.34, 8,544.21 and 4,023.59 is: 6,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.34 : 8,544.21 = 4,023.59 : x
  2. Step 2: Convert to fraction form
    5,696.34/8,544.21 = 4,023.59/x
  3. Step 3: Cross multiply
    5,696.34x = 8,544.21 × 4,023.59
  4. Step 4: Simplify right side
    5,696.34x = 34,378,355.19
  5. Step 5: Solve for x
    x = 34,378,355.19/5,696.34
  6. Step 6: Final answer
    x = 6,035.17

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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.