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Finding the Fourth Proportional to 5,137.34, 7,707.94 and 3,058.54

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Solution

The fourth proportional to 5,137.34, 7,707.94 and 3,058.54 is: 4,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.34 : 7,707.94 = 3,058.54 : x
  2. Step 2: Convert to fraction form
    5,137.34/7,707.94 = 3,058.54/x
  3. Step 3: Cross multiply
    5,137.34x = 7,707.94 × 3,058.54
  4. Step 4: Simplify right side
    5,137.34x = 23,575,042.81
  5. Step 5: Solve for x
    x = 23,575,042.81/5,137.34
  6. Step 6: Final answer
    x = 4,588.96

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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.