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Finding the Fourth Proportional to 4,091.66, 6,133.90 and 1,458.76

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Solution

The fourth proportional to 4,091.66, 6,133.90 and 1,458.76 is: 2,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.66 : 6,133.90 = 1,458.76 : x
  2. Step 2: Convert to fraction form
    4,091.66/6,133.90 = 1,458.76/x
  3. Step 3: Cross multiply
    4,091.66x = 6,133.90 × 1,458.76
  4. Step 4: Simplify right side
    4,091.66x = 8,947,887.96
  5. Step 5: Solve for x
    x = 8,947,887.96/4,091.66
  6. Step 6: Final answer
    x = 2,186.86

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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.