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Finding the Fourth Proportional to 3,986.76, 5,501.64 and 2,308.24

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Solution

The fourth proportional to 3,986.76, 5,501.64 and 2,308.24 is: 3,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.76 : 5,501.64 = 2,308.24 : x
  2. Step 2: Convert to fraction form
    3,986.76/5,501.64 = 2,308.24/x
  3. Step 3: Cross multiply
    3,986.76x = 5,501.64 × 2,308.24
  4. Step 4: Simplify right side
    3,986.76x = 12,699,091.76
  5. Step 5: Solve for x
    x = 12,699,091.76/3,986.76
  6. Step 6: Final answer
    x = 3,185.32

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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.