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Finding the Fourth Proportional to 4,605.64, 6,906.62 and 2,006.76

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Solution

The fourth proportional to 4,605.64, 6,906.62 and 2,006.76 is: 3,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.64 : 6,906.62 = 2,006.76 : x
  2. Step 2: Convert to fraction form
    4,605.64/6,906.62 = 2,006.76/x
  3. Step 3: Cross multiply
    4,605.64x = 6,906.62 × 2,006.76
  4. Step 4: Simplify right side
    4,605.64x = 13,859,928.75
  5. Step 5: Solve for x
    x = 13,859,928.75/4,605.64
  6. Step 6: Final answer
    x = 3,009.34

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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.