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Finding the Fourth Proportional to 3,714.73, 5,561.33 and 2,602.80

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Solution

The fourth proportional to 3,714.73, 5,561.33 and 2,602.80 is: 3,896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.73 : 5,561.33 = 2,602.80 : x
  2. Step 2: Convert to fraction form
    3,714.73/5,561.33 = 2,602.80/x
  3. Step 3: Cross multiply
    3,714.73x = 5,561.33 × 2,602.80
  4. Step 4: Simplify right side
    3,714.73x = 14,475,016.71
  5. Step 5: Solve for x
    x = 14,475,016.71/3,714.73
  6. Step 6: Final answer
    x = 3,896.66

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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.