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Finding the Fourth Proportional to 5,739.69, 7,928.58 and 4,496.48

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Solution

The fourth proportional to 5,739.69, 7,928.58 and 4,496.48 is: 6,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.69 : 7,928.58 = 4,496.48 : x
  2. Step 2: Convert to fraction form
    5,739.69/7,928.58 = 4,496.48/x
  3. Step 3: Cross multiply
    5,739.69x = 7,928.58 × 4,496.48
  4. Step 4: Simplify right side
    5,739.69x = 35,650,661.76
  5. Step 5: Solve for x
    x = 35,650,661.76/5,739.69
  6. Step 6: Final answer
    x = 6,211.25

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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.