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Finding the Fourth Proportional to 4,542.34, 6,803.94 and 2,079.23

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Solution

The fourth proportional to 4,542.34, 6,803.94 and 2,079.23 is: 3,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.34 : 6,803.94 = 2,079.23 : x
  2. Step 2: Convert to fraction form
    4,542.34/6,803.94 = 2,079.23/x
  3. Step 3: Cross multiply
    4,542.34x = 6,803.94 × 2,079.23
  4. Step 4: Simplify right side
    4,542.34x = 14,146,945.77
  5. Step 5: Solve for x
    x = 14,146,945.77/4,542.34
  6. Step 6: Final answer
    x = 3,114.46

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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.