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Finding the Fourth Proportional to 3,610.26, 4,980.54 and 3,166.80

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Solution

The fourth proportional to 3,610.26, 4,980.54 and 3,166.80 is: 4,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.26 : 4,980.54 = 3,166.80 : x
  2. Step 2: Convert to fraction form
    3,610.26/4,980.54 = 3,166.80/x
  3. Step 3: Cross multiply
    3,610.26x = 4,980.54 × 3,166.80
  4. Step 4: Simplify right side
    3,610.26x = 15,772,374.07
  5. Step 5: Solve for x
    x = 15,772,374.07/3,610.26
  6. Step 6: Final answer
    x = 4,368.76

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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.