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Finding the Fourth Proportional to 5,509.66, 8,245.96 and 5,054.44

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Solution

The fourth proportional to 5,509.66, 8,245.96 and 5,054.44 is: 7,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.66 : 8,245.96 = 5,054.44 : x
  2. Step 2: Convert to fraction form
    5,509.66/8,245.96 = 5,054.44/x
  3. Step 3: Cross multiply
    5,509.66x = 8,245.96 × 5,054.44
  4. Step 4: Simplify right side
    5,509.66x = 41,678,710.06
  5. Step 5: Solve for x
    x = 41,678,710.06/5,509.66
  6. Step 6: Final answer
    x = 7,564.66

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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.