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Finding the Fourth Proportional to 5,688.63, 7,853.36 and 3,992.36

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Solution

The fourth proportional to 5,688.63, 7,853.36 and 3,992.36 is: 5,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.63 : 7,853.36 = 3,992.36 : x
  2. Step 2: Convert to fraction form
    5,688.63/7,853.36 = 3,992.36/x
  3. Step 3: Cross multiply
    5,688.63x = 7,853.36 × 3,992.36
  4. Step 4: Simplify right side
    5,688.63x = 31,353,381.10
  5. Step 5: Solve for x
    x = 31,353,381.10/5,688.63
  6. Step 6: Final answer
    x = 5,511.59

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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.