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Finding the Fourth Proportional to 6,008.36, 8,289.70 and 4,749.64

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Solution

The fourth proportional to 6,008.36, 8,289.70 and 4,749.64 is: 6,553.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,008.36 : 8,289.70 = 4,749.64 : x
  2. Step 2: Convert to fraction form
    6,008.36/8,289.70 = 4,749.64/x
  3. Step 3: Cross multiply
    6,008.36x = 8,289.70 × 4,749.64
  4. Step 4: Simplify right side
    6,008.36x = 39,373,090.71
  5. Step 5: Solve for x
    x = 39,373,090.71/6,008.36
  6. Step 6: Final answer
    x = 6,553.05

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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.