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Finding the Fourth Proportional to 5,802.16, 8,708.10 and 3,206.92

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Solution

The fourth proportional to 5,802.16, 8,708.10 and 3,206.92 is: 4,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.16 : 8,708.10 = 3,206.92 : x
  2. Step 2: Convert to fraction form
    5,802.16/8,708.10 = 3,206.92/x
  3. Step 3: Cross multiply
    5,802.16x = 8,708.10 × 3,206.92
  4. Step 4: Simplify right side
    5,802.16x = 27,926,180.05
  5. Step 5: Solve for x
    x = 27,926,180.05/5,802.16
  6. Step 6: Final answer
    x = 4,813.07

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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.