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Finding the Fourth Proportional to 5,684.70, 8,533.12 and 3,224.32

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Solution

The fourth proportional to 5,684.70, 8,533.12 and 3,224.32 is: 4,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.70 : 8,533.12 = 3,224.32 : x
  2. Step 2: Convert to fraction form
    5,684.70/8,533.12 = 3,224.32/x
  3. Step 3: Cross multiply
    5,684.70x = 8,533.12 × 3,224.32
  4. Step 4: Simplify right side
    5,684.70x = 27,513,509.48
  5. Step 5: Solve for x
    x = 27,513,509.48/5,684.70
  6. Step 6: Final answer
    x = 4,839.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.