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Finding the Fourth Proportional to 4,540.34, 6,800.94 and 2,077.23

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Solution

The fourth proportional to 4,540.34, 6,800.94 and 2,077.23 is: 3,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.34 : 6,800.94 = 2,077.23 : x
  2. Step 2: Convert to fraction form
    4,540.34/6,800.94 = 2,077.23/x
  3. Step 3: Cross multiply
    4,540.34x = 6,800.94 × 2,077.23
  4. Step 4: Simplify right side
    4,540.34x = 14,127,106.21
  5. Step 5: Solve for x
    x = 14,127,106.21/4,540.34
  6. Step 6: Final answer
    x = 3,111.46

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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.