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Finding the Fourth Proportional to 5,202.99, 7,178.09 and 3,314.07

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Solution

The fourth proportional to 5,202.99, 7,178.09 and 3,314.07 is: 4,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.99 : 7,178.09 = 3,314.07 : x
  2. Step 2: Convert to fraction form
    5,202.99/7,178.09 = 3,314.07/x
  3. Step 3: Cross multiply
    5,202.99x = 7,178.09 × 3,314.07
  4. Step 4: Simplify right side
    5,202.99x = 23,788,676.16
  5. Step 5: Solve for x
    x = 23,788,676.16/5,202.99
  6. Step 6: Final answer
    x = 4,572.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.