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Finding the Fourth Proportional to 4,259.58, 5,874.69 and 4,158.12

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Solution

The fourth proportional to 4,259.58, 5,874.69 and 4,158.12 is: 5,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.58 : 5,874.69 = 4,158.12 : x
  2. Step 2: Convert to fraction form
    4,259.58/5,874.69 = 4,158.12/x
  3. Step 3: Cross multiply
    4,259.58x = 5,874.69 × 4,158.12
  4. Step 4: Simplify right side
    4,259.58x = 24,427,665.98
  5. Step 5: Solve for x
    x = 24,427,665.98/4,259.58
  6. Step 6: Final answer
    x = 5,734.76

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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.