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Finding the Fourth Proportional to 4,076.17, 6,114.29 and 1,443.68

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Solution

The fourth proportional to 4,076.17, 6,114.29 and 1,443.68 is: 2,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.17 : 6,114.29 = 1,443.68 : x
  2. Step 2: Convert to fraction form
    4,076.17/6,114.29 = 1,443.68/x
  3. Step 3: Cross multiply
    4,076.17x = 6,114.29 × 1,443.68
  4. Step 4: Simplify right side
    4,076.17x = 8,827,097.72
  5. Step 5: Solve for x
    x = 8,827,097.72/4,076.17
  6. Step 6: Final answer
    x = 2,165.54

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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.