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Finding the Fourth Proportional to 5,673.67, 8,510.49 and 2,389.06

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Solution

The fourth proportional to 5,673.67, 8,510.49 and 2,389.06 is: 3,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.67 : 8,510.49 = 2,389.06 : x
  2. Step 2: Convert to fraction form
    5,673.67/8,510.49 = 2,389.06/x
  3. Step 3: Cross multiply
    5,673.67x = 8,510.49 × 2,389.06
  4. Step 4: Simplify right side
    5,673.67x = 20,332,071.24
  5. Step 5: Solve for x
    x = 20,332,071.24/5,673.67
  6. Step 6: Final answer
    x = 3,583.58

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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.