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Finding the Fourth Proportional to 5,072.98, 7,610.80 and 1,785.58

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Solution

The fourth proportional to 5,072.98, 7,610.80 and 1,785.58 is: 2,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.98 : 7,610.80 = 1,785.58 : x
  2. Step 2: Convert to fraction form
    5,072.98/7,610.80 = 1,785.58/x
  3. Step 3: Cross multiply
    5,072.98x = 7,610.80 × 1,785.58
  4. Step 4: Simplify right side
    5,072.98x = 13,589,692.26
  5. Step 5: Solve for x
    x = 13,589,692.26/5,072.98
  6. Step 6: Final answer
    x = 2,678.84

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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.