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Finding the Fourth Proportional to 3,510.23, 5,266.17 and 1,866.42

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Solution

The fourth proportional to 3,510.23, 5,266.17 and 1,866.42 is: 2,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.23 : 5,266.17 = 1,866.42 : x
  2. Step 2: Convert to fraction form
    3,510.23/5,266.17 = 1,866.42/x
  3. Step 3: Cross multiply
    3,510.23x = 5,266.17 × 1,866.42
  4. Step 4: Simplify right side
    3,510.23x = 9,828,885.01
  5. Step 5: Solve for x
    x = 9,828,885.01/3,510.23
  6. Step 6: Final answer
    x = 2,800.07

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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.