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Finding the Fourth Proportional to 5,208.16, 7,812.16 and 2,611.04

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Solution

The fourth proportional to 5,208.16, 7,812.16 and 2,611.04 is: 3,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.16 : 7,812.16 = 2,611.04 : x
  2. Step 2: Convert to fraction form
    5,208.16/7,812.16 = 2,611.04/x
  3. Step 3: Cross multiply
    5,208.16x = 7,812.16 × 2,611.04
  4. Step 4: Simplify right side
    5,208.16x = 20,397,862.25
  5. Step 5: Solve for x
    x = 20,397,862.25/5,208.16
  6. Step 6: Final answer
    x = 3,916.52

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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.