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Finding the Fourth Proportional to 5,533.94, 7,636.28 and 3,409.16

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Solution

The fourth proportional to 5,533.94, 7,636.28 and 3,409.16 is: 4,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.94 : 7,636.28 = 3,409.16 : x
  2. Step 2: Convert to fraction form
    5,533.94/7,636.28 = 3,409.16/x
  3. Step 3: Cross multiply
    5,533.94x = 7,636.28 × 3,409.16
  4. Step 4: Simplify right side
    5,533.94x = 26,033,245.10
  5. Step 5: Solve for x
    x = 26,033,245.10/5,533.94
  6. Step 6: Final answer
    x = 4,704.29

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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.