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Finding the Fourth Proportional to 6,339.75, 8,749.26 and 3,545.25

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Solution

The fourth proportional to 6,339.75, 8,749.26 and 3,545.25 is: 4,892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.75 : 8,749.26 = 3,545.25 : x
  2. Step 2: Convert to fraction form
    6,339.75/8,749.26 = 3,545.25/x
  3. Step 3: Cross multiply
    6,339.75x = 8,749.26 × 3,545.25
  4. Step 4: Simplify right side
    6,339.75x = 31,018,314.02
  5. Step 5: Solve for x
    x = 31,018,314.02/6,339.75
  6. Step 6: Final answer
    x = 4,892.67

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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.