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Finding the Fourth Proportional to 6,571.75, 9,058.21 and 4,658.21

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Solution

The fourth proportional to 6,571.75, 9,058.21 and 4,658.21 is: 6,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.75 : 9,058.21 = 4,658.21 : x
  2. Step 2: Convert to fraction form
    6,571.75/9,058.21 = 4,658.21/x
  3. Step 3: Cross multiply
    6,571.75x = 9,058.21 × 4,658.21
  4. Step 4: Simplify right side
    6,571.75x = 42,195,044.40
  5. Step 5: Solve for x
    x = 42,195,044.40/6,571.75
  6. Step 6: Final answer
    x = 6,420.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.