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Finding the Fourth Proportional to 5,072.02, 7,605.29 and 1,782.63

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Solution

The fourth proportional to 5,072.02, 7,605.29 and 1,782.63 is: 2,672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.02 : 7,605.29 = 1,782.63 : x
  2. Step 2: Convert to fraction form
    5,072.02/7,605.29 = 1,782.63/x
  3. Step 3: Cross multiply
    5,072.02x = 7,605.29 × 1,782.63
  4. Step 4: Simplify right side
    5,072.02x = 13,557,443.96
  5. Step 5: Solve for x
    x = 13,557,443.96/5,072.02
  6. Step 6: Final answer
    x = 2,672.99

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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.