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Finding the Fourth Proportional to 5,924.38, 8,130.51 and 5,363.62

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Solution

The fourth proportional to 5,924.38, 8,130.51 and 5,363.62 is: 7,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.38 : 8,130.51 = 5,363.62 : x
  2. Step 2: Convert to fraction form
    5,924.38/8,130.51 = 5,363.62/x
  3. Step 3: Cross multiply
    5,924.38x = 8,130.51 × 5,363.62
  4. Step 4: Simplify right side
    5,924.38x = 43,608,968.35
  5. Step 5: Solve for x
    x = 43,608,968.35/5,924.38
  6. Step 6: Final answer
    x = 7,360.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.