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Finding the Fourth Proportional to 5,454.08, 7,522.56 and 3,683.84

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Solution

The fourth proportional to 5,454.08, 7,522.56 and 3,683.84 is: 5,080.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.08 : 7,522.56 = 3,683.84 : x
  2. Step 2: Convert to fraction form
    5,454.08/7,522.56 = 3,683.84/x
  3. Step 3: Cross multiply
    5,454.08x = 7,522.56 × 3,683.84
  4. Step 4: Simplify right side
    5,454.08x = 27,711,907.43
  5. Step 5: Solve for x
    x = 27,711,907.43/5,454.08
  6. Step 6: Final answer
    x = 5,080.95

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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.