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Finding the Fourth Proportional to 5,804.67, 8,645.84 and 5,683.17

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Solution

The fourth proportional to 5,804.67, 8,645.84 and 5,683.17 is: 8,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.67 : 8,645.84 = 5,683.17 : x
  2. Step 2: Convert to fraction form
    5,804.67/8,645.84 = 5,683.17/x
  3. Step 3: Cross multiply
    5,804.67x = 8,645.84 × 5,683.17
  4. Step 4: Simplify right side
    5,804.67x = 49,135,778.51
  5. Step 5: Solve for x
    x = 49,135,778.51/5,804.67
  6. Step 6: Final answer
    x = 8,464.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.