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Finding the Fourth Proportional to 5,410.78, 7,465.69 and 3,522.16

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Solution

The fourth proportional to 5,410.78, 7,465.69 and 3,522.16 is: 4,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.78 : 7,465.69 = 3,522.16 : x
  2. Step 2: Convert to fraction form
    5,410.78/7,465.69 = 3,522.16/x
  3. Step 3: Cross multiply
    5,410.78x = 7,465.69 × 3,522.16
  4. Step 4: Simplify right side
    5,410.78x = 26,295,354.69
  5. Step 5: Solve for x
    x = 26,295,354.69/5,410.78
  6. Step 6: Final answer
    x = 4,859.81

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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.