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Finding the Fourth Proportional to 6,138.32, 8,470.60 and 3,485.36

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Solution

The fourth proportional to 6,138.32, 8,470.60 and 3,485.36 is: 4,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.32 : 8,470.60 = 3,485.36 : x
  2. Step 2: Convert to fraction form
    6,138.32/8,470.60 = 3,485.36/x
  3. Step 3: Cross multiply
    6,138.32x = 8,470.60 × 3,485.36
  4. Step 4: Simplify right side
    6,138.32x = 29,523,090.42
  5. Step 5: Solve for x
    x = 29,523,090.42/6,138.32
  6. Step 6: Final answer
    x = 4,809.64

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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.