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Finding the Fourth Proportional to 5,058.57, 7,587.89 and 1,771.67

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Solution

The fourth proportional to 5,058.57, 7,587.89 and 1,771.67 is: 2,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.57 : 7,587.89 = 1,771.67 : x
  2. Step 2: Convert to fraction form
    5,058.57/7,587.89 = 1,771.67/x
  3. Step 3: Cross multiply
    5,058.57x = 7,587.89 × 1,771.67
  4. Step 4: Simplify right side
    5,058.57x = 13,443,190.28
  5. Step 5: Solve for x
    x = 13,443,190.28/5,058.57
  6. Step 6: Final answer
    x = 2,657.51

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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.