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Finding the Fourth Proportional to 5,072.34, 7,605.07 and 1,785

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Solution

The fourth proportional to 5,072.34, 7,605.07 and 1,785 is: 2,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.34 : 7,605.07 = 1,785 : x
  2. Step 2: Convert to fraction form
    5,072.34/7,605.07 = 1,785/x
  3. Step 3: Cross multiply
    5,072.34x = 7,605.07 × 1,785
  4. Step 4: Simplify right side
    5,072.34x = 13,575,045.49
  5. Step 5: Solve for x
    x = 13,575,045.49/5,072.34
  6. Step 6: Final answer
    x = 2,676.29

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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.