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Finding the Fourth Proportional to 5,208.53, 7,812.68 and 1,312.97

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Solution

The fourth proportional to 5,208.53, 7,812.68 and 1,312.97 is: 1,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.53 : 7,812.68 = 1,312.97 : x
  2. Step 2: Convert to fraction form
    5,208.53/7,812.68 = 1,312.97/x
  3. Step 3: Cross multiply
    5,208.53x = 7,812.68 × 1,312.97
  4. Step 4: Simplify right side
    5,208.53x = 10,257,768.83
  5. Step 5: Solve for x
    x = 10,257,768.83/5,208.53
  6. Step 6: Final answer
    x = 1,969.42

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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.