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Finding the Fourth Proportional to 5,747.06, 8,581.74 and 5,039.04

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Solution

The fourth proportional to 5,747.06, 8,581.74 and 5,039.04 is: 7,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.06 : 8,581.74 = 5,039.04 : x
  2. Step 2: Convert to fraction form
    5,747.06/8,581.74 = 5,039.04/x
  3. Step 3: Cross multiply
    5,747.06x = 8,581.74 × 5,039.04
  4. Step 4: Simplify right side
    5,747.06x = 43,243,731.13
  5. Step 5: Solve for x
    x = 43,243,731.13/5,747.06
  6. Step 6: Final answer
    x = 7,524.50

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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.