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Finding the Fourth Proportional to 6,388.32, 8,810.20 and 4,148.06

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Solution

The fourth proportional to 6,388.32, 8,810.20 and 4,148.06 is: 5,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.32 : 8,810.20 = 4,148.06 : x
  2. Step 2: Convert to fraction form
    6,388.32/8,810.20 = 4,148.06/x
  3. Step 3: Cross multiply
    6,388.32x = 8,810.20 × 4,148.06
  4. Step 4: Simplify right side
    6,388.32x = 36,545,238.21
  5. Step 5: Solve for x
    x = 36,545,238.21/6,388.32
  6. Step 6: Final answer
    x = 5,720.63

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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.