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Finding the Fourth Proportional to 6,340.50, 8,749.90 and 3,546

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Solution

The fourth proportional to 6,340.50, 8,749.90 and 3,546 is: 4,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.50 : 8,749.90 = 3,546 : x
  2. Step 2: Convert to fraction form
    6,340.50/8,749.90 = 3,546/x
  3. Step 3: Cross multiply
    6,340.50x = 8,749.90 × 3,546
  4. Step 4: Simplify right side
    6,340.50x = 31,027,145.40
  5. Step 5: Solve for x
    x = 31,027,145.40/6,340.50
  6. Step 6: Final answer
    x = 4,893.49

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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.