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Finding the Fourth Proportional to 4,781.36, 7,173.06 and 1,661.46

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Solution

The fourth proportional to 4,781.36, 7,173.06 and 1,661.46 is: 2,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.36 : 7,173.06 = 1,661.46 : x
  2. Step 2: Convert to fraction form
    4,781.36/7,173.06 = 1,661.46/x
  3. Step 3: Cross multiply
    4,781.36x = 7,173.06 × 1,661.46
  4. Step 4: Simplify right side
    4,781.36x = 11,917,752.27
  5. Step 5: Solve for x
    x = 11,917,752.27/4,781.36
  6. Step 6: Final answer
    x = 2,492.54

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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.