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Finding the Fourth Proportional to 3,510.64, 5,261.41 and 1,428.22

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Solution

The fourth proportional to 3,510.64, 5,261.41 and 1,428.22 is: 2,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.64 : 5,261.41 = 1,428.22 : x
  2. Step 2: Convert to fraction form
    3,510.64/5,261.41 = 1,428.22/x
  3. Step 3: Cross multiply
    3,510.64x = 5,261.41 × 1,428.22
  4. Step 4: Simplify right side
    3,510.64x = 7,514,450.99
  5. Step 5: Solve for x
    x = 7,514,450.99/3,510.64
  6. Step 6: Final answer
    x = 2,140.48

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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.