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Finding the Fourth Proportional to 5,380.84, 7,429.16 and 3,365.08

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Solution

The fourth proportional to 5,380.84, 7,429.16 and 3,365.08 is: 4,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.84 : 7,429.16 = 3,365.08 : x
  2. Step 2: Convert to fraction form
    5,380.84/7,429.16 = 3,365.08/x
  3. Step 3: Cross multiply
    5,380.84x = 7,429.16 × 3,365.08
  4. Step 4: Simplify right side
    5,380.84x = 24,999,717.73
  5. Step 5: Solve for x
    x = 24,999,717.73/5,380.84
  6. Step 6: Final answer
    x = 4,646.06

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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.