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Finding the Fourth Proportional to 3,005.72, 4,508.51 and 1,361.07

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Solution

The fourth proportional to 3,005.72, 4,508.51 and 1,361.07 is: 2,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.72 : 4,508.51 = 1,361.07 : x
  2. Step 2: Convert to fraction form
    3,005.72/4,508.51 = 1,361.07/x
  3. Step 3: Cross multiply
    3,005.72x = 4,508.51 × 1,361.07
  4. Step 4: Simplify right side
    3,005.72x = 6,136,390.90
  5. Step 5: Solve for x
    x = 6,136,390.90/3,005.72
  6. Step 6: Final answer
    x = 2,041.57

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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.