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Finding the Fourth Proportional to 4,076.46, 6,114.74 and 1,154.69

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Solution

The fourth proportional to 4,076.46, 6,114.74 and 1,154.69 is: 1,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.46 : 6,114.74 = 1,154.69 : x
  2. Step 2: Convert to fraction form
    4,076.46/6,114.74 = 1,154.69/x
  3. Step 3: Cross multiply
    4,076.46x = 6,114.74 × 1,154.69
  4. Step 4: Simplify right side
    4,076.46x = 7,060,629.13
  5. Step 5: Solve for x
    x = 7,060,629.13/4,076.46
  6. Step 6: Final answer
    x = 1,732.05

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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.