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Finding the Fourth Proportional to 5,684.70, 7,838 and 4,741.86

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Solution

The fourth proportional to 5,684.70, 7,838 and 4,741.86 is: 6,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.70 : 7,838 = 4,741.86 : x
  2. Step 2: Convert to fraction form
    5,684.70/7,838 = 4,741.86/x
  3. Step 3: Cross multiply
    5,684.70x = 7,838 × 4,741.86
  4. Step 4: Simplify right side
    5,684.70x = 37,166,698.68
  5. Step 5: Solve for x
    x = 37,166,698.68/5,684.70
  6. Step 6: Final answer
    x = 6,538.02

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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.