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Finding the Fourth Proportional to 4,749.67, 6,544.69 and 4,039.03

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Solution

The fourth proportional to 4,749.67, 6,544.69 and 4,039.03 is: 5,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.67 : 6,544.69 = 4,039.03 : x
  2. Step 2: Convert to fraction form
    4,749.67/6,544.69 = 4,039.03/x
  3. Step 3: Cross multiply
    4,749.67x = 6,544.69 × 4,039.03
  4. Step 4: Simplify right side
    4,749.67x = 26,434,199.25
  5. Step 5: Solve for x
    x = 26,434,199.25/4,749.67
  6. Step 6: Final answer
    x = 5,565.48

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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.