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Finding the Fourth Proportional to 4,638.52, 6,957.60 and 2,005.66

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Solution

The fourth proportional to 4,638.52, 6,957.60 and 2,005.66 is: 3,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.52 : 6,957.60 = 2,005.66 : x
  2. Step 2: Convert to fraction form
    4,638.52/6,957.60 = 2,005.66/x
  3. Step 3: Cross multiply
    4,638.52x = 6,957.60 × 2,005.66
  4. Step 4: Simplify right side
    4,638.52x = 13,954,580.02
  5. Step 5: Solve for x
    x = 13,954,580.02/4,638.52
  6. Step 6: Final answer
    x = 3,008.41

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