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Finding the Fourth Proportional to 6,571.02, 9,068.02 and 3,738.32

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Solution

The fourth proportional to 6,571.02, 9,068.02 and 3,738.32 is: 5,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.02 : 9,068.02 = 3,738.32 : x
  2. Step 2: Convert to fraction form
    6,571.02/9,068.02 = 3,738.32/x
  3. Step 3: Cross multiply
    6,571.02x = 9,068.02 × 3,738.32
  4. Step 4: Simplify right side
    6,571.02x = 33,899,160.53
  5. Step 5: Solve for x
    x = 33,899,160.53/6,571.02
  6. Step 6: Final answer
    x = 5,158.89

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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.