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Finding the Fourth Proportional to 5,953.30, 8,923.83 and 4,006.06

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Solution

The fourth proportional to 5,953.30, 8,923.83 and 4,006.06 is: 6,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.30 : 8,923.83 = 4,006.06 : x
  2. Step 2: Convert to fraction form
    5,953.30/8,923.83 = 4,006.06/x
  3. Step 3: Cross multiply
    5,953.30x = 8,923.83 × 4,006.06
  4. Step 4: Simplify right side
    5,953.30x = 35,749,398.41
  5. Step 5: Solve for x
    x = 35,749,398.41/5,953.30
  6. Step 6: Final answer
    x = 6,004.97

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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.