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Finding the Fourth Proportional to 4,056.42, 6,083.42 and 1,458.75

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Solution

The fourth proportional to 4,056.42, 6,083.42 and 1,458.75 is: 2,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.42 : 6,083.42 = 1,458.75 : x
  2. Step 2: Convert to fraction form
    4,056.42/6,083.42 = 1,458.75/x
  3. Step 3: Cross multiply
    4,056.42x = 6,083.42 × 1,458.75
  4. Step 4: Simplify right side
    4,056.42x = 8,874,181.63
  5. Step 5: Solve for x
    x = 8,874,181.63/4,056.42
  6. Step 6: Final answer
    x = 2,187.69

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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.