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Finding the Fourth Proportional to 4,076.01, 6,114.06 and 1,154.34

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Solution

The fourth proportional to 4,076.01, 6,114.06 and 1,154.34 is: 1,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.01 : 6,114.06 = 1,154.34 : x
  2. Step 2: Convert to fraction form
    4,076.01/6,114.06 = 1,154.34/x
  3. Step 3: Cross multiply
    4,076.01x = 6,114.06 × 1,154.34
  4. Step 4: Simplify right side
    4,076.01x = 7,057,704.02
  5. Step 5: Solve for x
    x = 7,057,704.02/4,076.01
  6. Step 6: Final answer
    x = 1,731.52

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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.