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Finding the Fourth Proportional to 3,784.24, 5,220.16 and 3,538.32

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Solution

The fourth proportional to 3,784.24, 5,220.16 and 3,538.32 is: 4,880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.24 : 5,220.16 = 3,538.32 : x
  2. Step 2: Convert to fraction form
    3,784.24/5,220.16 = 3,538.32/x
  3. Step 3: Cross multiply
    3,784.24x = 5,220.16 × 3,538.32
  4. Step 4: Simplify right side
    3,784.24x = 18,470,596.53
  5. Step 5: Solve for x
    x = 18,470,596.53/3,784.24
  6. Step 6: Final answer
    x = 4,880.93

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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.