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Finding the Fourth Proportional to 6,505.38, 8,980.74 and 4,384.26

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Solution

The fourth proportional to 6,505.38, 8,980.74 and 4,384.26 is: 6,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.38 : 8,980.74 = 4,384.26 : x
  2. Step 2: Convert to fraction form
    6,505.38/8,980.74 = 4,384.26/x
  3. Step 3: Cross multiply
    6,505.38x = 8,980.74 × 4,384.26
  4. Step 4: Simplify right side
    6,505.38x = 39,373,899.15
  5. Step 5: Solve for x
    x = 39,373,899.15/6,505.38
  6. Step 6: Final answer
    x = 6,052.51

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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.