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Finding the Fourth Proportional to 3,007.21, 4,510.02 and 1,157.29

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Solution

The fourth proportional to 3,007.21, 4,510.02 and 1,157.29 is: 1,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.21 : 4,510.02 = 1,157.29 : x
  2. Step 2: Convert to fraction form
    3,007.21/4,510.02 = 1,157.29/x
  3. Step 3: Cross multiply
    3,007.21x = 4,510.02 × 1,157.29
  4. Step 4: Simplify right side
    3,007.21x = 5,219,401.05
  5. Step 5: Solve for x
    x = 5,219,401.05/3,007.21
  6. Step 6: Final answer
    x = 1,735.63

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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.