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Finding the Fourth Proportional to 6,004.82, 8,289.60 and 4,657.38

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Solution

The fourth proportional to 6,004.82, 8,289.60 and 4,657.38 is: 6,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.82 : 8,289.60 = 4,657.38 : x
  2. Step 2: Convert to fraction form
    6,004.82/8,289.60 = 4,657.38/x
  3. Step 3: Cross multiply
    6,004.82x = 8,289.60 × 4,657.38
  4. Step 4: Simplify right side
    6,004.82x = 38,607,817.25
  5. Step 5: Solve for x
    x = 38,607,817.25/6,004.82
  6. Step 6: Final answer
    x = 6,429.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.