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Finding the Fourth Proportional to 6,342.07, 8,749.08 and 4,218.64

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Solution

The fourth proportional to 6,342.07, 8,749.08 and 4,218.64 is: 5,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.07 : 8,749.08 = 4,218.64 : x
  2. Step 2: Convert to fraction form
    6,342.07/8,749.08 = 4,218.64/x
  3. Step 3: Cross multiply
    6,342.07x = 8,749.08 × 4,218.64
  4. Step 4: Simplify right side
    6,342.07x = 36,909,218.85
  5. Step 5: Solve for x
    x = 36,909,218.85/6,342.07
  6. Step 6: Final answer
    x = 5,819.74

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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.