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Finding the Fourth Proportional to 4,712.58, 7,050.24 and 4,158.54

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Solution

The fourth proportional to 4,712.58, 7,050.24 and 4,158.54 is: 6,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.58 : 7,050.24 = 4,158.54 : x
  2. Step 2: Convert to fraction form
    4,712.58/7,050.24 = 4,158.54/x
  3. Step 3: Cross multiply
    4,712.58x = 7,050.24 × 4,158.54
  4. Step 4: Simplify right side
    4,712.58x = 29,318,705.05
  5. Step 5: Solve for x
    x = 29,318,705.05/4,712.58
  6. Step 6: Final answer
    x = 6,221.37

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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.