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Finding the Fourth Proportional to 4,522.81, 6,788.34 and 3,145

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Solution

The fourth proportional to 4,522.81, 6,788.34 and 3,145 is: 4,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.81 : 6,788.34 = 3,145 : x
  2. Step 2: Convert to fraction form
    4,522.81/6,788.34 = 3,145/x
  3. Step 3: Cross multiply
    4,522.81x = 6,788.34 × 3,145
  4. Step 4: Simplify right side
    4,522.81x = 21,349,329.30
  5. Step 5: Solve for x
    x = 21,349,329.30/4,522.81
  6. Step 6: Final answer
    x = 4,720.37

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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.