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Finding the Fourth Proportional to 5,834.40, 8,042.04 and 5,076.24

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Solution

The fourth proportional to 5,834.40, 8,042.04 and 5,076.24 is: 6,997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.40 : 8,042.04 = 5,076.24 : x
  2. Step 2: Convert to fraction form
    5,834.40/8,042.04 = 5,076.24/x
  3. Step 3: Cross multiply
    5,834.40x = 8,042.04 × 5,076.24
  4. Step 4: Simplify right side
    5,834.40x = 40,823,325.13
  5. Step 5: Solve for x
    x = 40,823,325.13/5,834.40
  6. Step 6: Final answer
    x = 6,997.00

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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.