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Finding the Fourth Proportional to 4,725.60, 6,522.16 and 3,604.80

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Solution

The fourth proportional to 4,725.60, 6,522.16 and 3,604.80 is: 4,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.60 : 6,522.16 = 3,604.80 : x
  2. Step 2: Convert to fraction form
    4,725.60/6,522.16 = 3,604.80/x
  3. Step 3: Cross multiply
    4,725.60x = 6,522.16 × 3,604.80
  4. Step 4: Simplify right side
    4,725.60x = 23,511,082.37
  5. Step 5: Solve for x
    x = 23,511,082.37/4,725.60
  6. Step 6: Final answer
    x = 4,975.26

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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.