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Finding the Fourth Proportional to 3,510.71, 5,261.51 and 1,428.29

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Solution

The fourth proportional to 3,510.71, 5,261.51 and 1,428.29 is: 2,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.71 : 5,261.51 = 1,428.29 : x
  2. Step 2: Convert to fraction form
    3,510.71/5,261.51 = 1,428.29/x
  3. Step 3: Cross multiply
    3,510.71x = 5,261.51 × 1,428.29
  4. Step 4: Simplify right side
    3,510.71x = 7,514,954.98
  5. Step 5: Solve for x
    x = 7,514,954.98/3,510.71
  6. Step 6: Final answer
    x = 2,140.58

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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.