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Finding the Fourth Proportional to 4,659.70, 6,428.54 and 2,669.20

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Solution

The fourth proportional to 4,659.70, 6,428.54 and 2,669.20 is: 3,682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.70 : 6,428.54 = 2,669.20 : x
  2. Step 2: Convert to fraction form
    4,659.70/6,428.54 = 2,669.20/x
  3. Step 3: Cross multiply
    4,659.70x = 6,428.54 × 2,669.20
  4. Step 4: Simplify right side
    4,659.70x = 17,159,058.97
  5. Step 5: Solve for x
    x = 17,159,058.97/4,659.70
  6. Step 6: Final answer
    x = 3,682.44

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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.