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Finding the Fourth Proportional to 5,484.09, 7,567.74 and 3,094.44

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Solution

The fourth proportional to 5,484.09, 7,567.74 and 3,094.44 is: 4,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.09 : 7,567.74 = 3,094.44 : x
  2. Step 2: Convert to fraction form
    5,484.09/7,567.74 = 3,094.44/x
  3. Step 3: Cross multiply
    5,484.09x = 7,567.74 × 3,094.44
  4. Step 4: Simplify right side
    5,484.09x = 23,417,917.37
  5. Step 5: Solve for x
    x = 23,417,917.37/5,484.09
  6. Step 6: Final answer
    x = 4,270.16

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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.