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Finding the Fourth Proportional to 3,006.14, 4,509.64 and 926.32

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Solution

The fourth proportional to 3,006.14, 4,509.64 and 926.32 is: 1,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.14 : 4,509.64 = 926.32 : x
  2. Step 2: Convert to fraction form
    3,006.14/4,509.64 = 926.32/x
  3. Step 3: Cross multiply
    3,006.14x = 4,509.64 × 926.32
  4. Step 4: Simplify right side
    3,006.14x = 4,177,369.72
  5. Step 5: Solve for x
    x = 4,177,369.72/3,006.14
  6. Step 6: Final answer
    x = 1,389.61

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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.