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Finding the Fourth Proportional to 4,200.42, 5,796.72 and 3,026.46

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Solution

The fourth proportional to 4,200.42, 5,796.72 and 3,026.46 is: 4,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.42 : 5,796.72 = 3,026.46 : x
  2. Step 2: Convert to fraction form
    4,200.42/5,796.72 = 3,026.46/x
  3. Step 3: Cross multiply
    4,200.42x = 5,796.72 × 3,026.46
  4. Step 4: Simplify right side
    4,200.42x = 17,543,541.21
  5. Step 5: Solve for x
    x = 17,543,541.21/4,200.42
  6. Step 6: Final answer
    x = 4,176.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.