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Finding the Fourth Proportional to 3,588.64, 5,379.70 and 2,663.08

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Solution

The fourth proportional to 3,588.64, 5,379.70 and 2,663.08 is: 3,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.64 : 5,379.70 = 2,663.08 : x
  2. Step 2: Convert to fraction form
    3,588.64/5,379.70 = 2,663.08/x
  3. Step 3: Cross multiply
    3,588.64x = 5,379.70 × 2,663.08
  4. Step 4: Simplify right side
    3,588.64x = 14,326,571.48
  5. Step 5: Solve for x
    x = 14,326,571.48/3,588.64
  6. Step 6: Final answer
    x = 3,992.20

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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.