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Finding the Fourth Proportional to 6,341.72, 8,749.59 and 3,824.60

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Solution

The fourth proportional to 6,341.72, 8,749.59 and 3,824.60 is: 5,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.72 : 8,749.59 = 3,824.60 : x
  2. Step 2: Convert to fraction form
    6,341.72/8,749.59 = 3,824.60/x
  3. Step 3: Cross multiply
    6,341.72x = 8,749.59 × 3,824.60
  4. Step 4: Simplify right side
    6,341.72x = 33,463,681.91
  5. Step 5: Solve for x
    x = 33,463,681.91/6,341.72
  6. Step 6: Final answer
    x = 5,276.75

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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.