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Finding the Fourth Proportional to 4,630.32, 6,945.03 and 2,549.64

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Solution

The fourth proportional to 4,630.32, 6,945.03 and 2,549.64 is: 3,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.32 : 6,945.03 = 2,549.64 : x
  2. Step 2: Convert to fraction form
    4,630.32/6,945.03 = 2,549.64/x
  3. Step 3: Cross multiply
    4,630.32x = 6,945.03 × 2,549.64
  4. Step 4: Simplify right side
    4,630.32x = 17,707,326.29
  5. Step 5: Solve for x
    x = 17,707,326.29/4,630.32
  6. Step 6: Final answer
    x = 3,824.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.