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Finding the Fourth Proportional to 4,602.30, 6,351.76 and 3,426.72

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Solution

The fourth proportional to 4,602.30, 6,351.76 and 3,426.72 is: 4,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.30 : 6,351.76 = 3,426.72 : x
  2. Step 2: Convert to fraction form
    4,602.30/6,351.76 = 3,426.72/x
  3. Step 3: Cross multiply
    4,602.30x = 6,351.76 × 3,426.72
  4. Step 4: Simplify right side
    4,602.30x = 21,765,703.03
  5. Step 5: Solve for x
    x = 21,765,703.03/4,602.30
  6. Step 6: Final answer
    x = 4,729.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.