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Finding the Fourth Proportional to 5,406.64, 8,104.56 and 4,663.24

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Solution

The fourth proportional to 5,406.64, 8,104.56 and 4,663.24 is: 6,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.64 : 8,104.56 = 4,663.24 : x
  2. Step 2: Convert to fraction form
    5,406.64/8,104.56 = 4,663.24/x
  3. Step 3: Cross multiply
    5,406.64x = 8,104.56 × 4,663.24
  4. Step 4: Simplify right side
    5,406.64x = 37,793,508.37
  5. Step 5: Solve for x
    x = 37,793,508.37/5,406.64
  6. Step 6: Final answer
    x = 6,990.20

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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.